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be0e3 [4]"
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soku-overflow:
 0;position:absolute;top:29.5%;left:70.97%;width:2.62%;height:4.5%'><span
 lang=3DEN-US style=3D'font-size:111%;color:red;mso-fareast-language:ZH-CN'=
><b>D</b></span></div>
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 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'><b>7</b></span></div>
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soku-overflow:
 0;position:absolute;top:47.5%;left:69.28%;width:5.8%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'><b>&#8211;3
 </b></span></div>
 <div v:shape=3D"_x0000_s177170" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:15.16%;width:85.39%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Radicals and
 Pythagorean Theorem</span></div>
 <div v:shape=3D"_x0000_s177171" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:27.5%;left:11.04%;width:10.67%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;3,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>7</span></div>
 <div v:shape=3D"_x0000_s177172" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:36.5%;left:7.67%;width:19.47%;height:5.25%'><span
 lang=3DEL style=3D'font-family:Arial;mso-bidi-font-family:Arial;mso-hansi-=
font-family:
 Arial;font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>&#916;</spa=
n><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>x<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span></span><span lang=3DEL style=3D'font-family:Arial;mso-bidi-font-fam=
ily:
 Arial;mso-hansi-font-family:Arial;font-size:133%;color:#003300;mso-fareast=
-language:
 ZH-CN'>&#916;</span><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;
 mso-hansi-font-family:Arial;font-size:133%;color:#003300;mso-fareast-langu=
age:
 ZH-CN'>y</span><span lang=3DEN-US style=3D'font-size:133%;color:#003300;
 mso-fareast-language:ZH-CN;mso-special-format:lastCR;display:none'>&#13;</=
span></div>
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  <v:fill color2=3D"white [0]"/>
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sition:absolute;
  left:36pt;top:324pt;width:23.375pt;height:26.5pt;mso-wrap-style:none;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
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 </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s177173"
 src=3D"slide0152_image189.gif" style=3D'position:absolute;top:43.25%;left:=
14.04%;
 width:13.67%;height:.5%'><![endif]>
 <div v:shape=3D"_x0000_s177174" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:49.75%;left:5.99%;width:90.63%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>Higher Root&#13;</b=
></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:55.0%;left:5.99%;width:90.63%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;mso-fareast-language:ZH-CN;display:none'><b>&#13;</=
b></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:56.25%;left:5.99%;width:106.36%;height:5.25%'><span lang=3DEN=
-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>If r</span><span lang=
=3DEN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>3</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the cube root of x.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>We write this as </span></span><span style=3D'position:absolute;
 top:61.25%;left:5.99%;width:90.63%;height:5.75%'><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;mso-fareast-language:ZH-CN;
 mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-size:1=
33%;
 mso-fareast-language:ZH-CN'>x =3D r. </span></span></div>
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soku-overflow:
 0;position:absolute;top:61.0%;left:5.99%;width:1.68%;height:3.5%'><span
 lang=3DEN-US style=3D'font-size:89%;color:red;mso-fareast-language:ZH-CN'>=
3</span></div>
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mily:
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Find
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span
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-CN'><b>7</b></span></div>
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soku-overflow:
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.5%;
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ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Radicals and
 Pythagorean Theorem</span></div>
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soku-overflow:
 0;position:absolute;top:27.5%;left:11.04%;width:10.67%;height:5.25%'><span
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-CN'>&#8211;3,<span
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soku-overflow:
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 lang=3DEL style=3D'font-family:Arial;mso-bidi-font-family:Arial;mso-hansi-=
font-family:
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n><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>x<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span></span><span lang=3DEL style=3D'font-family:Arial;mso-bidi-font-fam=
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age:
 ZH-CN'>y</span><span lang=3DEN-US style=3D'font-size:133%;color:#003300;
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span></div>
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 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:49.75%;left:5.99%;width:90.63%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>Higher Root&#13;</b=
></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:55.0%;left:5.99%;width:90.63%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;mso-fareast-language:ZH-CN;display:none'><b>&#13;</=
b></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:56.25%;left:5.99%;width:106.36%;height:5.25%'><span lang=3DEN=
-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>If r</span><span lang=
=3DEN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>3</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the cube root of x.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>We write this as </span></span><span style=3D'position:absolute;
 top:61.25%;left:5.99%;width:106.55%;height:5.75%'><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;mso-fareast-language:ZH-CN;
 mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-size:1=
33%;
 mso-fareast-language:ZH-CN'>x =3D r. In general, if r </span><span lang=3D=
EN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>k</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the k&#8217;th root of x, </span></span></div>
 </div>
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3</span></div>
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.5%;
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ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Radicals and
 Pythagorean Theorem</span></div>
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soku-overflow:
 0;position:absolute;top:27.5%;left:11.04%;width:10.67%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;3,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>7</span></div>
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soku-overflow:
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font-family:
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n><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>x<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span></span><span lang=3DEL style=3D'font-family:Arial;mso-bidi-font-fam=
ily:
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-language:
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 mso-hansi-font-family:Arial;font-size:133%;color:#003300;mso-fareast-langu=
age:
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span></div>
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d=3D"f"
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 </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s179221"
 src=3D"slide0154_image201.gif" style=3D'position:absolute;top:43.25%;left:=
14.04%;
 width:13.67%;height:.5%'><![endif]>
 <div v:shape=3D"_x0000_s179222" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:49.75%;left:5.99%;width:90.63%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>Higher Root&#13;</b=
></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:55.0%;left:5.99%;width:90.63%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;mso-fareast-language:ZH-CN;display:none'><b>&#13;</=
b></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:56.25%;left:5.99%;width:106.36%;height:5.25%'><span lang=3DEN=
-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>If r</span><span lang=
=3DEN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>3</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the cube root of x.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>We write this as </span></span><span style=3D'position:absolute;
 top:61.25%;left:5.99%;width:106.55%;height:5.75%'><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;mso-fareast-language:ZH-CN;
 mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-size:1=
33%;
 mso-fareast-language:ZH-CN'>x =3D r. In general, if r </span><span lang=3D=
EN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>k</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the k&#8217;th root of x, </span></span><span
 style=3D'position:absolute;top:66.5%;left:5.99%;width:90.63%;height:5.75%'=
><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>and we wr=
ite it
 as r =3D </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x.</span>=
</span></div>
 </div>
 <div v:shape=3D"_x0000_s179223" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:61.0%;left:5.99%;width:1.68%;height:3.5%'><span
 lang=3DEN-US style=3D'font-size:89%;color:red;mso-fareast-language:ZH-CN'>=
3</span></div>
 <div v:shape=3D"_x0000_s179224" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:66.0%;left:38.57%;width:1.68%;height:4.0%'><span
 lang=3DEN-US style=3D'color:red;mso-fareast-language:ZH-CN'>k</span></div>
</p:slide></div>

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mily:
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Find
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 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>&#8211;<=
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45em;
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n><span
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45em;
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an><span
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fareast-language:
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size:
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age:
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soku-overflow:
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soku-overflow:
 0;position:absolute;top:47.5%;left:69.28%;width:5.8%;height:5.25%'><span
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.5%;
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ze:178%;
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n><span
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al;
 font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>x<span
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soku-overflow:
 0;position:absolute;top:71.5%;left:75.09%;width:1.68%;height:4.0%'><span
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d=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
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  <v:shadow color=3D"gray [2]"/>
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 </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s180251"
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 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
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ion:
 absolute;top:56.25%;left:5.99%;width:106.36%;height:5.25%'><span lang=3DEN=
-US
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=3DEN-US
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133%;
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=3D x,
 then we say r is the cube root of x.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>We write this as </span></span><span style=3D'position:absolute;
 top:61.25%;left:5.99%;width:106.55%;height:5.75%'><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;mso-fareast-language:ZH-CN;
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33%;
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EN-US
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133%;
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=3D x,
 then we say r is the k&#8217;th root of x, </span></span><span
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<span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>and we wr=
ite it
 as r =3D </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
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</span></span></div>
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 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>i.e. k =3D 2, 4, 6, &#=
8230; we
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:Symbol;
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an><span
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gt; 0.</span></div>
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 </v:shape><![if !vml]><img border=3D0
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 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
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ze:178%;
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age:
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u-overflow:
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CN'><span
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pan
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numbullet0\,1";
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age:
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size:
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-US
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si-font-family:
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format:
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soku-overflow:
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 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s181283" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:49.75%;left:5.99%;width:90.63%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>Higher Root&#13;</b=
></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:55.0%;left:5.99%;width:90.63%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;mso-fareast-language:ZH-CN;display:none'><b>&#13;</=
b></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:56.25%;left:5.99%;width:106.36%;height:5.25%'><span lang=3DEN=
-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>If r</span><span lang=
=3DEN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>3</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the cube root of x.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>We write this as </span></span><span style=3D'position:absolute;
 top:61.25%;left:5.99%;width:106.55%;height:5.75%'><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;mso-fareast-language:ZH-CN;
 mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-size:1=
33%;
 mso-fareast-language:ZH-CN'>x =3D r. In general, if r </span><span lang=3D=
EN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>k</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the k&#8217;th root of x, </span></span><span
 style=3D'position:absolute;top:66.5%;left:5.99%;width:92.5%;height:5.75%'>=
<span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>and we wr=
ite it
 as r =3D </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>In the cases of even roots, &#13;=
</span></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:72.0%;left:5.99%;width:100.74%;height:5.75%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>i.e. k =3D 2, 4, 6, &#=
8230; we
 must have x &gt; 0 and that </span><span lang=3DEN-US style=3D'font-family=
:Symbol;
 font-size:133%;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</sp=
an><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x =3D r &=
gt; 0.</span></div>
 </div>
</p:slide></div>

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mily:
 Arial;font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Example D. =
Find
 the distance between (&#8211;1, 3) and (2, &#8211;4).</span></div>
 <div v:shape=3D"_x0000_s182276" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:15.5%;left:6.92%;width:16.47%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp; </span>(-1,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>3)&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:20.75%;left:6.92%;width:16.47%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>&#8211;<=
span
 style=3D'mso-spacerun:yes'>&nbsp; </span>( 2, -4) </span></div>
 </div>
 <v:line id=3D"_x0000_s182278" style=3D'position:absolute;flip:y' from=3D"7=
8pt,175.125pt"
  to=3D"90pt,198pt" strokecolor=3D"black [1]" strokeweight=3D"3pt">
  <v:stroke endarrow=3D"block"/>
  <v:shadow color=3D"gray [2]"/>
 </v:line><v:line id=3D"_x0000_s182279" style=3D'position:absolute;flip:x y'
  from=3D"138pt,174pt" to=3D"150pt,198pt" strokecolor=3D"black [1]" strokew=
eight=3D"3pt">
  <v:stroke endarrow=3D"block"/>
  <v:shadow color=3D"gray [2]"/>
 </v:line><v:shape id=3D"_x0000_s182280" type=3D"#_x0000_t202" style=3D'pos=
ition:absolute;
  left:36pt;top:228pt;width:324pt;height:36pt;mso-wrap-style:square;
  v-text-anchor:top' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s182278,_x0000_s1=
82279"
 src=3D"slide0157_image219.gif" style=3D'position:absolute;top:31.5%;left:1=
0.67%;
 width:10.67%;height:5.75%'><![endif]>
 <div v:shape=3D"_x0000_s182280" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:42.75%;left:5.99%;width:49.25%;height:5.75%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>D =3D
 </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:133%;color=
:#003300;
 mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</span><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>(&#8211;3)</span><span
 lang=3DEN-US style=3D'font-size:89%;color:#003300;position:relative;top:-.=
45em;
 mso-text-raise:30%;mso-fareast-language:ZH-CN'>2 </span><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>+ 7</spa=
n><span
 lang=3DEN-US style=3D'font-size:89%;color:#003300;position:relative;top:-.=
45em;
 mso-text-raise:30%;mso-fareast-language:ZH-CN'>2 </span><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>=3D </sp=
an><span
 lang=3DEN-US style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-=
fareast-language:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>58 </span><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-fareast-langu=
age:
 ZH-CN;mso-char-type:symbol'>&raquo;</span><span lang=3DEN-US style=3D'font=
-size:
 133%;color:#003300;mso-fareast-language:ZH-CN'> 7.62</span></div>
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  o:preferrelative=3D"t" path=3D"m@4@5l@4@11@9@11@9@5xe" filled=3D"f" strok=
ed=3D"f">
  <v:stroke joinstyle=3D"miter"/>
  <v:formulas>
   <v:f eqn=3D"if lineDrawn pixelLineWidth 0"/>
   <v:f eqn=3D"sum @0 1 0"/>
   <v:f eqn=3D"sum 0 0 @1"/>
   <v:f eqn=3D"prod @2 1 2"/>
   <v:f eqn=3D"prod @3 21600 pixelWidth"/>
   <v:f eqn=3D"prod @3 21600 pixelHeight"/>
   <v:f eqn=3D"sum @0 0 1"/>
   <v:f eqn=3D"prod @6 1 2"/>
   <v:f eqn=3D"prod @7 21600 pixelWidth"/>
   <v:f eqn=3D"sum @8 21600 0"/>
   <v:f eqn=3D"prod @7 21600 pixelHeight"/>
   <v:f eqn=3D"sum @10 21600 0"/>
  </v:formulas>
  <v:path o:extrusionok=3D"f" gradientshapeok=3D"t" o:connecttype=3D"rect"/>
  <o:lock v:ext=3D"edit" aspectratio=3D"t"/>
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  left:408pt;top:84pt;width:210pt;height:199.25pt' fillcolor=3D"#bbe0e3 [4]"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:imagedata src=3D"slide0082_image140.png" o:title=3D""/>
  <v:shadow color=3D"gray [2]"/>
 </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s182281"
 src=3D"slide0157_image220.jpg" style=3D'position:absolute;top:15.5%;left:5=
6.74%;
 width:29.21%;height:37.0%'><![endif]><v:oval id=3D"_x0000_s182282" style=
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  left:462pt;top:108pt;width:12pt;height:12pt;mso-wrap-style:none;
  v-text-anchor:middle' fillcolor=3D"#bbe0e3 [4]" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
 </v:oval><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s182282"
 src=3D"slide0157_image221.gif" style=3D'position:absolute;top:20.0%;left:6=
4.04%;
 width:2.05%;height:2.75%'><![endif]><v:oval id=3D"_x0000_s182283" style=3D=
'position:absolute;
  left:552pt;top:252pt;width:12pt;height:12pt;mso-wrap-style:none;
  v-text-anchor:middle' fillcolor=3D"#bbe0e3 [4]" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
 </v:oval><v:line id=3D"_x0000_s182284" style=3D'position:absolute' from=3D=
"468pt,114pt"
  to=3D"558pt,258pt" strokecolor=3D"red" strokeweight=3D"2.25pt">
  <v:shadow color=3D"gray [2]"/>
 </v:line><v:shape id=3D"_x0000_s182285" type=3D"#_x0000_t202" style=3D'pos=
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  left:7in;top:153.75pt;width:29pt;height:31.25pt;mso-wrap-style:none;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:line id=3D"_x0000_s182286" style=3D'position:absolute' from=
=3D"468pt,120pt"
  to=3D"468pt,258pt" strokecolor=3D"black [1]" strokeweight=3D"3pt">
  <v:shadow color=3D"gray [2]"/>
 </v:line><v:line id=3D"_x0000_s182287" style=3D'position:absolute' from=3D=
"468pt,258pt"
  to=3D"552pt,258pt" strokecolor=3D"black [1]" strokeweight=3D"3pt">
  <v:shadow color=3D"gray [2]"/>
 </v:line><v:shape id=3D"_x0000_s182288" type=3D"#_x0000_t202" style=3D'pos=
ition:absolute;
  left:444pt;top:192pt;width:27.875pt;height:36pt;mso-wrap-style:none;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:shape id=3D"_x0000_s182289" type=3D"#_x0000_t202" style=3D'po=
sition:absolute;
  left:492pt;top:252pt;width:47.875pt;height:36pt;mso-wrap-style:none;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:rect id=3D"_x0000_s182290" style=3D'position:absolute;left:10=
2pt;
  top:2.375pt;width:525.875pt;height:45.625pt;mso-wrap-style:none;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><v:shape id=3D"_x0000_s182291" type=3D"#_x0000_t202" style=3D'pos=
ition:absolute;
  left:1in;top:2in;width:90pt;height:36pt;mso-wrap-style:square' filled=3D"=
f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:shape id=3D"_x0000_s182292" type=3D"#_x0000_t202" style=3D'po=
sition:absolute;
  left:48pt;top:192pt;width:132pt;height:36pt' filled=3D"f" fillcolor=3D"#b=
be0e3 [4]"
  stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><![if !vml]><img border=3D0
 v:shapes=3D"_x0000_s182283,_x0000_s182284,_x0000_s182286,_x0000_s182287"
 src=3D"slide0157_image222.gif" style=3D'position:absolute;top:21.0%;left:6=
4.79%;
 width:13.85%;height:28.5%'><![endif]>
 <div v:shape=3D"_x0000_s182285" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:29.5%;left:70.97%;width:2.62%;height:4.5%'><span
 lang=3DEN-US style=3D'font-size:111%;color:red;mso-fareast-language:ZH-CN'=
><b>D</b></span></div>
 <div v:shape=3D"_x0000_s182288" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:36.5%;left:62.73%;width:2.43%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'><b>7</b></span></div>
 <div v:shape=3D"_x0000_s182289" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:47.5%;left:69.28%;width:5.8%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'><b>&#8211;3
 </b></span></div>
 <div v:shape=3D"_x0000_s182290" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:15.16%;width:85.39%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Radicals and
 Pythagorean Theorem</span></div>
 <div v:shape=3D"_x0000_s182291" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:27.5%;left:11.04%;width:10.67%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;3,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>7</span></div>
 <div v:shape=3D"_x0000_s182292" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:36.5%;left:7.67%;width:19.47%;height:5.25%'><span
 lang=3DEL style=3D'font-family:Arial;mso-bidi-font-family:Arial;mso-hansi-=
font-family:
 Arial;font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>&#916;</spa=
n><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>x<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span></span><span lang=3DEL style=3D'font-family:Arial;mso-bidi-font-fam=
ily:
 Arial;mso-hansi-font-family:Arial;font-size:133%;color:#003300;mso-fareast=
-language:
 ZH-CN'>&#916;</span><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;
 mso-hansi-font-family:Arial;font-size:133%;color:#003300;mso-fareast-langu=
age:
 ZH-CN'>y</span><span lang=3DEN-US style=3D'font-size:133%;color:#003300;
 mso-fareast-language:ZH-CN;mso-special-format:lastCR;display:none'>&#13;</=
span></div>
 <v:line id=3D"_x0000_s182293" style=3D'position:absolute' from=3D"102pt,23=
4pt" to=3D"198pt,234pt"
  strokecolor=3D"#030">
  <v:shadow color=3D"gray [2]"/>
 </v:line><v:shape id=3D"_x0000_s182295" type=3D"#_x0000_t202" style=3D'pos=
ition:absolute;
  left:36pt;top:324pt;width:23.375pt;height:26.5pt;mso-wrap-style:none;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:shape id=3D"_x0000_s182296" type=3D"#_x0000_t202" style=3D'po=
sition:absolute;
  left:270pt;top:351.625pt;width:23.5pt;height:28.875pt;mso-wrap-style:none;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s182293"
 src=3D"slide0157_image223.gif" style=3D'position:absolute;top:43.25%;left:=
14.04%;
 width:13.67%;height:.5%'><![endif]>
 <div v:shape=3D"_x0000_s182295" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:61.0%;left:5.99%;width:1.68%;height:3.5%'><span
 lang=3DEN-US style=3D'font-size:89%;color:red;mso-fareast-language:ZH-CN'>=
3</span></div>
 <div v:shape=3D"_x0000_s182296" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:66.0%;left:38.57%;width:1.68%;height:4.0%'><span
 lang=3DEN-US style=3D'color:red;mso-fareast-language:ZH-CN'>k</span></div>
 <v:line id=3D"_x0000_s182297" style=3D'position:absolute' from=3D"402pt,41=
0.5pt"
  to=3D"420pt,410.5pt" strokecolor=3D"black [1]" strokeweight=3D"2.25pt">
  <v:shadow color=3D"gray [2]"/>
 </v:line><v:shape id=3D"_x0000_s182298" type=3D"#_x0000_t202" style=3D'pos=
ition:absolute;
  left:534pt;top:381.625pt;width:23.5pt;height:28.875pt;mso-wrap-style:none;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s182297"
 src=3D"slide0157_image224.gif" style=3D'position:absolute;top:75.75%;left:=
55.61%;
 width:3.18%;height:.75%'><![endif]>
 <div v:shape=3D"_x0000_s182298" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:71.5%;left:75.09%;width:1.68%;height:4.0%'><span
 lang=3DEN-US style=3D'color:red;mso-fareast-language:ZH-CN'>k</span></div>
 <v:line id=3D"_x0000_s182299" style=3D'position:absolute' from=3D"612pt,41=
0.5pt"
  to=3D"630pt,410.5pt" strokecolor=3D"black [1]" strokeweight=3D"2.25pt">
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  left:34.75pt;top:420pt;width:613.25pt;height:1in;mso-wrap-style:square'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:shape id=3D"_x0000_s182301" type=3D"#_x0000_t202" style=3D'po=
sition:absolute;
  left:67.75pt;top:450pt;width:22.25pt;height:24pt;mso-wrap-style:none;
  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:shape id=3D"_x0000_s182307" type=3D"#_x0000_t202" style=3D'po=
sition:absolute;
  left:36pt;top:264pt;width:666pt;height:157pt;mso-wrap-style:square' fille=
d=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s182299"
 src=3D"slide0157_image225.gif" style=3D'position:absolute;top:75.75%;left:=
84.83%;
 width:3.18%;height:.75%'><![endif]>
 <div v:shape=3D"_x0000_s182300">
 <div class=3DO1 style=3D'mso-margin-left-alt:504'></div>
 <div class=3DO2 style=3D'mso-margin-left-alt:792'></div>
 <div class=3DO3 style=3D'mso-margin-left-alt:1080'></div>
 <div class=3DO4 style=3D'mso-margin-left-alt:1368'></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:78.75%;left:5.8%;width:83.33%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>Example
 D. &#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:83.75%;left:5.8%;width:83.33%;height:1.5%'><span
 lang=3DEN-US style=3D'font-size:33%;color:#003300;mso-fareast-language:ZH-=
CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:85.0%;left:5.8%;width:83.33%;height:5.75%'><span
 style=3D'position:absolute;top:0%;left:4.49%;width:95.5%;height:100.0%'><s=
pan
 style=3D'font-size:133%;color:#003300'><span style=3D'mso-special-format:"=
numbullet0\,1";
 position:absolute;left:-4.7%'>a.</span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span></span><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-fareast-langu=
age:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>8 =3D 2</span><span lang=3D=
EN-US
 style=3D'font-family:\5B8B\4F53;mso-fareast-font-family:\5B8B\4F53;mso-han=
si-font-family:
 Arial;font-size:133%;color:#003300;mso-fareast-language:ZH-CN;mso-special-=
format:
 lastCR;display:none'>&#13;</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s182301" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:10.48%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s182307" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:49.75%;left:5.99%;width:90.63%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>Higher Root&#13;</b=
></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:55.0%;left:5.99%;width:90.63%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;mso-fareast-language:ZH-CN;display:none'><b>&#13;</=
b></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:56.25%;left:5.99%;width:106.36%;height:5.25%'><span lang=3DEN=
-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>If r</span><span lang=
=3DEN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>3</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the cube root of x.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>We write this as </span></span><span style=3D'position:absolute;
 top:61.25%;left:5.99%;width:106.55%;height:5.75%'><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;mso-fareast-language:ZH-CN;
 mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-size:1=
33%;
 mso-fareast-language:ZH-CN'>x =3D r. In general, if r </span><span lang=3D=
EN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>k</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the k&#8217;th root of x, </span></span><span
 style=3D'position:absolute;top:66.5%;left:5.99%;width:92.5%;height:5.75%'>=
<span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>and we wr=
ite it
 as r =3D </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x.<span
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</span></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:72.0%;left:5.99%;width:100.74%;height:5.75%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>i.e. k =3D 2, 4, 6, &#=
8230; we
 must have x &gt; 0 and that </span><span lang=3DEN-US style=3D'font-family=
:Symbol;
 font-size:133%;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</sp=
an><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x =3D r &=
gt; 0.</span></div>
 </div>
</p:slide></div>

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 src=3D"slide0158_image230.gif" style=3D'position:absolute;top:21.0%;left:6=
4.79%;
 width:13.85%;height:28.5%'><![endif]>
 <div v:shape=3D"_x0000_s183309" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:29.5%;left:70.97%;width:2.62%;height:4.5%'><span
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><b>D</b></span></div>
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soku-overflow:
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 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'><b>7</b></span></div>
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soku-overflow:
 0;position:absolute;top:47.5%;left:69.28%;width:5.8%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'><b>&#8211;3
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 <div v:shape=3D"_x0000_s183314" class=3DO style=3D'position:absolute;top:1=
.5%;
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ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Radicals and
 Pythagorean Theorem</span></div>
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soku-overflow:
 0;position:absolute;top:27.5%;left:11.04%;width:10.67%;height:5.25%'><span
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-CN'>&#8211;3,<span
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font-family:
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n><span
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al;
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ily:
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 mso-hansi-font-family:Arial;font-size:133%;color:#003300;mso-fareast-langu=
age:
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 mso-fareast-language:ZH-CN;mso-special-format:lastCR;display:none'>&#13;</=
span></div>
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14.04%;
 width:13.67%;height:.5%'><![endif]>
 <div v:shape=3D"_x0000_s183319" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
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3</span></div>
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84.83%;
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 <div v:shape=3D"_x0000_s183324">
 <div class=3DO1 style=3D'mso-margin-left-alt:504'></div>
 <div class=3DO2 style=3D'mso-margin-left-alt:792'></div>
 <div class=3DO3 style=3D'mso-margin-left-alt:1080'></div>
 <div class=3DO4 style=3D'mso-margin-left-alt:1368'></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:78.75%;left:5.8%;width:83.33%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>Example
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 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:83.75%;left:5.8%;width:83.33%;height:1.5%'><span
 lang=3DEN-US style=3D'font-size:33%;color:#003300;mso-fareast-language:ZH-=
CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:85.0%;left:5.8%;width:83.33%;height:5.75%'><span
 style=3D'position:absolute;top:0%;left:4.49%;width:95.5%;height:100.0%'><s=
pan
 style=3D'font-size:133%;color:#003300'><span style=3D'mso-special-format:"=
numbullet0\,1";
 position:absolute;left:-4.7%'>a.</span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span></span><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-fareast-langu=
age:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>8 =3D 2<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>b. </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:=
133%;
 color:#003300;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</spa=
n><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;1
 =3D</span><span lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-fareast-f=
ont-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;color:#003300;
 mso-fareast-language:ZH-CN;mso-special-format:lastCR;display:none'>&#13;</=
span></span></div>
 </div>
 <div v:shape=3D"_x0000_s183325" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:10.48%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s183326" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:39.32%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s183331" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:49.75%;left:5.99%;width:90.63%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>Higher Root&#13;</b=
></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:55.0%;left:5.99%;width:90.63%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;mso-fareast-language:ZH-CN;display:none'><b>&#13;</=
b></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:56.25%;left:5.99%;width:106.36%;height:5.25%'><span lang=3DEN=
-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>If r</span><span lang=
=3DEN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>3</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the cube root of x.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>We write this as </span></span><span style=3D'position:absolute;
 top:61.25%;left:5.99%;width:106.55%;height:5.75%'><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;mso-fareast-language:ZH-CN;
 mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-size:1=
33%;
 mso-fareast-language:ZH-CN'>x =3D r. In general, if r </span><span lang=3D=
EN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>k</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the k&#8217;th root of x, </span></span><span
 style=3D'position:absolute;top:66.5%;left:5.99%;width:92.5%;height:5.75%'>=
<span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>and we wr=
ite it
 as r =3D </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>In the cases of even roots, &#13;=
</span></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:72.0%;left:5.99%;width:100.74%;height:5.75%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>i.e. k =3D 2, 4, 6, &#=
8230; we
 must have x &gt; 0 and that </span><span lang=3DEN-US style=3D'font-family=
:Symbol;
 font-size:133%;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</sp=
an><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x =3D r &=
gt; 0.</span></div>
 </div>
</p:slide></div>

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 src=3D"slide0163_image234.gif" style=3D'position:absolute;top:26.5%;left:5=
.61%;
 width:18.16%;height:.75%'><![endif]>
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soku-overflow:
 0'><span style=3D'position:absolute;top:30.5%;left:10.67%;width:.18%;heigh=
t:
 6.75%'><span lang=3DEN-US style=3D'font-size:178%;mso-fareast-language:ZH-=
CN;
 mso-special-format:lastCR;display:none'>&#13;</span></span></div>
 <div v:shape=3D"_x0000_s188419" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:8.75%;left:5.24%;width:102.99%;height:5.25%'><span
 lang=3DEN-US style=3D'mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-fa=
mily:
 Arial;font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Example D. =
Find
 the distance between (&#8211;1, 3) and (2, &#8211;4).</span></div>
 <div v:shape=3D"_x0000_s188420" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:15.5%;left:6.92%;width:16.47%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp; </span>(-1,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>3)&#13;</span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:20.75%;left:6.92%;width:16.47%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>&#8211;<=
span
 style=3D'mso-spacerun:yes'>&nbsp; </span>( 2, -4) </span></div>
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eight=3D"3pt">
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  <v:shadow color=3D"gray [2]"/>
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88423"
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0.67%;
 width:10.67%;height:5.75%'><![endif]>
 <div v:shape=3D"_x0000_s188424" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:42.75%;left:5.99%;width:49.25%;height:5.75%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>D =3D
 </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:133%;color=
:#003300;
 mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</span><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>(&#8211;3)</span><span
 lang=3DEN-US style=3D'font-size:89%;color:#003300;position:relative;top:-.=
45em;
 mso-text-raise:30%;mso-fareast-language:ZH-CN'>2 </span><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>+ 7</spa=
n><span
 lang=3DEN-US style=3D'font-size:89%;color:#003300;position:relative;top:-.=
45em;
 mso-text-raise:30%;mso-fareast-language:ZH-CN'>2 </span><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>=3D </sp=
an><span
 lang=3DEN-US style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-=
fareast-language:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>58 </span><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-fareast-langu=
age:
 ZH-CN;mso-char-type:symbol'>&raquo;</span><span lang=3DEN-US style=3D'font=
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 133%;color:#003300;mso-fareast-language:ZH-CN'> 7.62</span></div>
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  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
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  v-text-anchor:top-baseline' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroke=
d=3D"f"
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  left:1in;top:2in;width:90pt;height:36pt;mso-wrap-style:square' filled=3D"=
f"
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  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
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sition:absolute;
  left:48pt;top:192pt;width:132pt;height:36pt' filled=3D"f" fillcolor=3D"#b=
be0e3 [4]"
  stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><![if !vml]><img border=3D0
 v:shapes=3D"_x0000_s188427,_x0000_s188428,_x0000_s188430,_x0000_s188431"
 src=3D"slide0163_image238.gif" style=3D'position:absolute;top:21.0%;left:6=
4.79%;
 width:13.85%;height:28.5%'><![endif]>
 <div v:shape=3D"_x0000_s188429" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:29.5%;left:70.97%;width:2.62%;height:4.5%'><span
 lang=3DEN-US style=3D'font-size:111%;color:red;mso-fareast-language:ZH-CN'=
><b>D</b></span></div>
 <div v:shape=3D"_x0000_s188432" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:36.5%;left:62.73%;width:2.43%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'><b>7</b></span></div>
 <div v:shape=3D"_x0000_s188433" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:47.5%;left:69.28%;width:5.8%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'><b>&#8211;3
 </b></span></div>
 <div v:shape=3D"_x0000_s188434" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:15.16%;width:85.39%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Radicals and
 Pythagorean Theorem</span></div>
 <div v:shape=3D"_x0000_s188435" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:27.5%;left:11.04%;width:10.67%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;3,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>7</span></div>
 <div v:shape=3D"_x0000_s188436" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:36.5%;left:7.67%;width:19.47%;height:5.25%'><span
 lang=3DEL style=3D'font-family:Arial;mso-bidi-font-family:Arial;mso-hansi-=
font-family:
 Arial;font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>&#916;</spa=
n><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>x<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span></span><span lang=3DEL style=3D'font-family:Arial;mso-bidi-font-fam=
ily:
 Arial;mso-hansi-font-family:Arial;font-size:133%;color:#003300;mso-fareast=
-language:
 ZH-CN'>&#916;</span><span lang=3DEN-US style=3D'mso-bidi-font-family:Arial;
 mso-hansi-font-family:Arial;font-size:133%;color:#003300;mso-fareast-langu=
age:
 ZH-CN'>y</span><span lang=3DEN-US style=3D'font-size:133%;color:#003300;
 mso-fareast-language:ZH-CN;mso-special-format:lastCR;display:none'>&#13;</=
span></div>
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soku-overflow:
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3</span></div>
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soku-overflow:
 0;position:absolute;top:66.0%;left:38.57%;width:1.68%;height:4.0%'><span
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 <div class=3DO1 style=3D'mso-margin-left-alt:504'></div>
 <div class=3DO2 style=3D'mso-margin-left-alt:792'></div>
 <div class=3DO3 style=3D'mso-margin-left-alt:1080'></div>
 <div class=3DO4 style=3D'mso-margin-left-alt:1368'></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:78.75%;left:5.8%;width:83.33%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>Example
 D. &#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:83.75%;left:5.8%;width:83.33%;height:1.5%'><span
 lang=3DEN-US style=3D'font-size:33%;color:#003300;mso-fareast-language:ZH-=
CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:85.0%;left:5.8%;width:83.33%;height:5.75%'><span
 style=3D'position:absolute;top:0%;left:4.49%;width:95.5%;height:100.0%'><s=
pan
 style=3D'font-size:133%;color:#003300'><span style=3D'mso-special-format:"=
numbullet0\,1";
 position:absolute;left:-4.7%'>a.</span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span></span><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-fareast-langu=
age:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>8 =3D 2<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>b. </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:=
133%;
 color:#003300;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</spa=
n><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;1
 =3D &#8211;1</span><span lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-=
fareast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;color:#003300;
 mso-fareast-language:ZH-CN;mso-special-format:lastCR;display:none'>&#13;</=
span></span></div>
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 <div v:shape=3D"_x0000_s188444" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:10.48%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s188445" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:39.32%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s188447" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:49.75%;left:5.99%;width:90.63%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>Higher Root&#13;</b=
></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:55.0%;left:5.99%;width:90.63%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;mso-fareast-language:ZH-CN;display:none'><b>&#13;</=
b></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:56.25%;left:5.99%;width:106.36%;height:5.25%'><span lang=3DEN=
-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>If r</span><span lang=
=3DEN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>3</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the cube root of x.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>We write this as </span></span><span style=3D'position:absolute;
 top:61.25%;left:5.99%;width:106.55%;height:5.75%'><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;mso-fareast-language:ZH-CN;
 mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-size:1=
33%;
 mso-fareast-language:ZH-CN'>x =3D r. In general, if r </span><span lang=3D=
EN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>k</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the k&#8217;th root of x, </span></span><span
 style=3D'position:absolute;top:66.5%;left:5.99%;width:92.5%;height:5.75%'>=
<span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>and we wr=
ite it
 as r =3D </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>In the cases of even roots, &#13;=
</span></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:72.0%;left:5.99%;width:100.74%;height:5.75%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>i.e. k =3D 2, 4, 6, &#=
8230; we
 must have x &gt; 0 and that </span><span lang=3DEN-US style=3D'font-family=
:Symbol;
 font-size:133%;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</sp=
an><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x =3D r &=
gt; 0.</span></div>
 </div>
</p:slide></div>

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4.79%;
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-CN'><b>7</b></span></div>
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.5%;
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ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Radicals and
 Pythagorean Theorem</span></div>
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soku-overflow:
 0;position:absolute;top:27.5%;left:11.04%;width:10.67%;height:5.25%'><span
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-CN'>&#8211;3,<span
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n><span
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al;
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age:
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u-overflow:
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CN'><span
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u-overflow:
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 style=3D'position:absolute;top:0%;left:4.24%;width:95.75%;height:100.0%'><=
span
 style=3D'font-size:133%;color:#003300'><span style=3D'mso-special-format:"=
numbullet0\,1";
 position:absolute;left:-4.43%'>a.</span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span></span><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-fareast-langu=
age:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>8 =3D 2<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>b. </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:=
133%;
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n><span
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-CN'>&#8211;1
 =3D &#8211;1<span
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;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>c.</span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 color:#003300;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</spa=
n><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;27
 =3D</span><span lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-fareast-f=
ont-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;color:#003300;
 mso-fareast-language:ZH-CN;mso-special-format:lastCR;display:none'>&#13;</=
span></span></div>
 </div>
 <div v:shape=3D"_x0000_s184349" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:10.48%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s184350" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:39.32%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s184351" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:69.28%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s184355" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:49.75%;left:5.99%;width:90.63%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>Higher Root&#13;</b=
></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:55.0%;left:5.99%;width:90.63%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;mso-fareast-language:ZH-CN;display:none'><b>&#13;</=
b></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:56.25%;left:5.99%;width:106.36%;height:5.25%'><span lang=3DEN=
-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>If r</span><span lang=
=3DEN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>3</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the cube root of x.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>We write this as </span></span><span style=3D'position:absolute;
 top:61.25%;left:5.99%;width:106.55%;height:5.75%'><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;mso-fareast-language:ZH-CN;
 mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-size:1=
33%;
 mso-fareast-language:ZH-CN'>x =3D r. In general, if r </span><span lang=3D=
EN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>k</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the k&#8217;th root of x, </span></span><span
 style=3D'position:absolute;top:66.5%;left:5.99%;width:92.5%;height:5.75%'>=
<span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>and we wr=
ite it
 as r =3D </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>In the cases of even roots, &#13;=
</span></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:72.0%;left:5.99%;width:100.74%;height:5.75%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>i.e. k =3D 2, 4, 6, &#=
8230; we
 must have x &gt; 0 and that </span><span lang=3DEN-US style=3D'font-family=
:Symbol;
 font-size:133%;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</sp=
an><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x =3D r &=
gt; 0.</span></div>
 </div>
</p:slide></div>

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CN;
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soku-overflow:
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mily:
 Arial;font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Example D. =
Find
 the distance between (&#8211;1, 3) and (2, &#8211;4).</span></div>
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 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
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 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp; </span>(-1,<span
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 top:20.75%;left:6.92%;width:16.47%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>&#8211;<=
span
 style=3D'mso-spacerun:yes'>&nbsp; </span>( 2, -4) </span></div>
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45em;
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n><span
 lang=3DEN-US style=3D'font-size:89%;color:#003300;position:relative;top:-.=
45em;
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an><span
 lang=3DEN-US style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-=
fareast-language:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>58 </span><span lang=3DEN-US
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age:
 ZH-CN;mso-char-type:symbol'>&raquo;</span><span lang=3DEN-US style=3D'font=
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be0e3 [4]"
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 v:shapes=3D"_x0000_s185355,_x0000_s185356,_x0000_s185358,_x0000_s185359"
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soku-overflow:
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 lang=3DEN-US style=3D'font-size:111%;color:red;mso-fareast-language:ZH-CN'=
><b>D</b></span></div>
 <div v:shape=3D"_x0000_s185360" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:36.5%;left:62.73%;width:2.43%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
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 <div v:shape=3D"_x0000_s185361" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:47.5%;left:69.28%;width:5.8%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'><b>&#8211;3
 </b></span></div>
 <div v:shape=3D"_x0000_s185362" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:15.16%;width:85.39%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Radicals and
 Pythagorean Theorem</span></div>
 <div v:shape=3D"_x0000_s185363" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:27.5%;left:11.04%;width:10.67%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;3,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>7</span></div>
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soku-overflow:
 0;position:absolute;top:36.5%;left:7.67%;width:19.47%;height:5.25%'><span
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font-family:
 Arial;font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>&#916;</spa=
n><span
 lang=3DEN-US style=3D'mso-bidi-font-family:Arial;mso-hansi-font-family:Ari=
al;
 font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>x<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span></span><span lang=3DEL style=3D'font-family:Arial;mso-bidi-font-fam=
ily:
 Arial;mso-hansi-font-family:Arial;font-size:133%;color:#003300;mso-fareast=
-language:
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 mso-hansi-font-family:Arial;font-size:133%;color:#003300;mso-fareast-langu=
age:
 ZH-CN'>y</span><span lang=3DEN-US style=3D'font-size:133%;color:#003300;
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3</span></div>
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d=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
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 </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s185370"
 src=3D"slide0160_image257.gif" style=3D'position:absolute;top:75.75%;left:=
84.83%;
 width:3.18%;height:.75%'><![endif]>
 <div v:shape=3D"_x0000_s185371">
 <div class=3DO1 style=3D'mso-margin-left-alt:504'></div>
 <div class=3DO2 style=3D'mso-margin-left-alt:792'></div>
 <div class=3DO3 style=3D'mso-margin-left-alt:1080'></div>
 <div class=3DO4 style=3D'mso-margin-left-alt:1368'></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:78.75%;left:5.8%;width:83.33%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>Example
 D. &#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:83.75%;left:5.8%;width:83.33%;height:1.5%'><span
 lang=3DEN-US style=3D'font-size:33%;color:#003300;mso-fareast-language:ZH-=
CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:85.0%;left:5.8%;width:93.82%;height:5.75%'><span
 style=3D'position:absolute;top:0%;left:3.99%;width:96.0%;height:100.0%'><s=
pan
 style=3D'font-size:133%;color:#003300'><span style=3D'mso-special-format:"=
numbullet0\,1";
 position:absolute;left:-4.15%'>a.</span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span></span><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-fareast-langu=
age:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>8 =3D 2<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>b. </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:=
133%;
 color:#003300;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</spa=
n><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;1
 =3D &#8211;1<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>c.</span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 color:#003300;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</spa=
n><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;27
 =3D &#8211;3 &#13;</span></span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:90.5%;left:5.8%;width:83.33%;height:2.75%'><span
 lang=3DEN-US style=3D'font-size:67%;color:#003300;mso-fareast-language:ZH-=
CN;
 mso-special-format:lastCR;display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s185372" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:10.48%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s185373" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:39.32%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s185374" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:69.28%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s185376" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:49.75%;left:5.99%;width:90.63%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>Higher Root&#13;</b=
></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:55.0%;left:5.99%;width:90.63%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;mso-fareast-language:ZH-CN;display:none'><b>&#13;</=
b></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:56.25%;left:5.99%;width:106.36%;height:5.25%'><span lang=3DEN=
-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>If r</span><span lang=
=3DEN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>3</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the cube root of x.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>We write this as </span></span><span style=3D'position:absolute;
 top:61.25%;left:5.99%;width:106.55%;height:5.75%'><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;mso-fareast-language:ZH-CN;
 mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-size:1=
33%;
 mso-fareast-language:ZH-CN'>x =3D r. In general, if r </span><span lang=3D=
EN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>k</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the k&#8217;th root of x, </span></span><span
 style=3D'position:absolute;top:66.5%;left:5.99%;width:92.5%;height:5.75%'>=
<span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>and we wr=
ite it
 as r =3D </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>In the cases of even roots, &#13;=
</span></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:72.0%;left:5.99%;width:100.74%;height:5.75%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>i.e. k =3D 2, 4, 6, &#=
8230; we
 must have x &gt; 0 and that </span><span lang=3DEN-US style=3D'font-family=
:Symbol;
 font-size:133%;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</sp=
an><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x =3D r &=
gt; 0.</span></div>
 </div>
</p:slide></div>

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mily:
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Find
 the distance between (&#8211;1, 3) and (2, &#8211;4).</span></div>
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 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp; </span>(-1,<span
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 top:20.75%;left:6.92%;width:16.47%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>&#8211;<=
span
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-CN'>D =3D
 </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:133%;color=
:#003300;
 mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</span><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>(&#8211;3)</span><span
 lang=3DEN-US style=3D'font-size:89%;color:#003300;position:relative;top:-.=
45em;
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 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>+ 7</spa=
n><span
 lang=3DEN-US style=3D'font-size:89%;color:#003300;position:relative;top:-.=
45em;
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 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>=3D </sp=
an><span
 lang=3DEN-US style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-=
fareast-language:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
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4.79%;
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soku-overflow:
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ze:178%;
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u-overflow:
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u-overflow:
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u-overflow:
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pan
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numbullet0\,1";
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 style=3D'mso-spacerun:yes'>&nbsp;</span></span><span lang=3DEN-US
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age:
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size:
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133%;
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n><span
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-CN'>&#8211;1
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33%;
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n><span
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u-overflow:
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CN;
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u-overflow:
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-CN'>d. </span><span
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fareast-language:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>16 =3D</span><span lang=3DE=
N-US
 style=3D'font-family:\5B8B\4F53;mso-fareast-font-family:\5B8B\4F53;mso-han=
si-font-family:
 Arial;font-size:133%;color:#003300;mso-fareast-language:ZH-CN;mso-special-=
format:
 lastCR;display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s186396" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
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 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s186397" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:39.32%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s186398" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:69.28%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s186400" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:92.0%;left:10.11%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>4</b></span></div>
 <div v:shape=3D"_x0000_s186401" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:49.75%;left:5.99%;width:90.63%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>Higher Root&#13;</b=
></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:55.0%;left:5.99%;width:90.63%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;mso-fareast-language:ZH-CN;display:none'><b>&#13;</=
b></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:56.25%;left:5.99%;width:106.36%;height:5.25%'><span lang=3DEN=
-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>If r</span><span lang=
=3DEN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>3</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the cube root of x.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>We write this as </span></span><span style=3D'position:absolute;
 top:61.25%;left:5.99%;width:106.55%;height:5.75%'><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;mso-fareast-language:ZH-CN;
 mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-size:1=
33%;
 mso-fareast-language:ZH-CN'>x =3D r. In general, if r </span><span lang=3D=
EN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>k</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the k&#8217;th root of x, </span></span><span
 style=3D'position:absolute;top:66.5%;left:5.99%;width:92.5%;height:5.75%'>=
<span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>and we wr=
ite it
 as r =3D </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>In the cases of even roots, &#13;=
</span></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:72.0%;left:5.99%;width:100.74%;height:5.75%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>i.e. k =3D 2, 4, 6, &#=
8230; we
 must have x &gt; 0 and that </span><span lang=3DEN-US style=3D'font-family=
:Symbol;
 font-size:133%;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</sp=
an><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x =3D r &=
gt; 0.</span></div>
 </div>
</p:slide></div>

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4.79%;
 width:13.85%;height:28.5%'><![endif]>
 <div v:shape=3D"_x0000_s187405" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
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 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'><b>7</b></span></div>
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soku-overflow:
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ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Radicals and
 Pythagorean Theorem</span></div>
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soku-overflow:
 0;position:absolute;top:27.5%;left:11.04%;width:10.67%;height:5.25%'><span
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-CN'>&#8211;3,<span
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font-family:
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n><span
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al;
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age:
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 <div v:shape=3D"_x0000_s187419">
 <div class=3DO1 style=3D'mso-margin-left-alt:504'></div>
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u-overflow:
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-CN'>Example
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u-overflow:
 0;position:absolute;top:83.75%;left:5.8%;width:83.33%;height:1.5%'><span
 lang=3DEN-US style=3D'font-size:33%;color:#003300;mso-fareast-language:ZH-=
CN'><span
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 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:85.0%;left:5.8%;width:93.82%;height:5.75%'><span
 style=3D'position:absolute;top:0%;left:3.99%;width:96.0%;height:100.0%'><s=
pan
 style=3D'font-size:133%;color:#003300'><span style=3D'mso-special-format:"=
numbullet0\,1";
 position:absolute;left:-4.15%'>a.</span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span></span><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-fareast-langu=
age:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>8 =3D 2<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>b. </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:=
133%;
 color:#003300;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</spa=
n><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;1
 =3D &#8211;1<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>c.</span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 color:#003300;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</spa=
n><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;27
 =3D &#8211;3 &#13;</span></span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:90.5%;left:5.8%;width:83.33%;height:2.75%'><span
 lang=3DEN-US style=3D'font-size:67%;color:#003300;mso-fareast-language:ZH-=
CN;
 display:none'>&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:93.0%;left:5.8%;width:83.33%;height:5.75%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>d. </span><span
 lang=3DEN-US style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-=
fareast-language:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>16 =3D 2</span><span lang=
=3DEN-US
 style=3D'font-family:\5B8B\4F53;mso-fareast-font-family:\5B8B\4F53;mso-han=
si-font-family:
 Arial;font-size:133%;color:#003300;mso-fareast-language:ZH-CN;mso-special-=
format:
 lastCR;display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s187420" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:10.48%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s187421" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:39.32%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s187422" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:69.28%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s187424" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:92.0%;left:10.11%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>4</b></span></div>
 <div v:shape=3D"_x0000_s187425" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:49.75%;left:5.99%;width:90.63%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>Higher Root&#13;</b=
></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:55.0%;left:5.99%;width:90.63%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;mso-fareast-language:ZH-CN;display:none'><b>&#13;</=
b></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:56.25%;left:5.99%;width:106.36%;height:5.25%'><span lang=3DEN=
-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>If r</span><span lang=
=3DEN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>3</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the cube root of x.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>We write this as </span></span><span style=3D'position:absolute;
 top:61.25%;left:5.99%;width:106.55%;height:5.75%'><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;mso-fareast-language:ZH-CN;
 mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-size:1=
33%;
 mso-fareast-language:ZH-CN'>x =3D r. In general, if r </span><span lang=3D=
EN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>k</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the k&#8217;th root of x, </span></span><span
 style=3D'position:absolute;top:66.5%;left:5.99%;width:92.5%;height:5.75%'>=
<span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>and we wr=
ite it
 as r =3D </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>In the cases of even roots, &#13;=
</span></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:72.0%;left:5.99%;width:100.74%;height:5.75%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>i.e. k =3D 2, 4, 6, &#=
8230; we
 must have x &gt; 0 and that </span><span lang=3DEN-US style=3D'font-family=
:Symbol;
 font-size:133%;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</sp=
an><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x =3D r &=
gt; 0.</span></div>
 </div>
</p:slide></div>

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mily:
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Find
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span
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n><span
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an><span
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age:
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soku-overflow:
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><b>D</b></span></div>
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soku-overflow:
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soku-overflow:
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-CN'><b>&#8211;3
 </b></span></div>
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.5%;
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ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Radicals and
 Pythagorean Theorem</span></div>
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soku-overflow:
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 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;3,<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>7</span></div>
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n><span
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al;
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 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
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 mso-hansi-font-family:Arial;font-size:133%;color:#003300;mso-fareast-langu=
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d=3D"f"
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 </v:shape><v:shape id=3D"_x0000_s191524" type=3D"#_x0000_t202" style=3D'po=
sition:absolute;
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d=3D"f"
  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s191514"
 src=3D"slide0166_image281.gif" style=3D'position:absolute;top:75.75%;left:=
84.83%;
 width:3.18%;height:.75%'><![endif]>
 <div v:shape=3D"_x0000_s191515">
 <div class=3DO1 style=3D'mso-margin-left-alt:504'></div>
 <div class=3DO2 style=3D'mso-margin-left-alt:792'></div>
 <div class=3DO3 style=3D'mso-margin-left-alt:1080'></div>
 <div class=3DO4 style=3D'mso-margin-left-alt:1368'></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:78.75%;left:5.8%;width:83.33%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>Example
 D. &#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:83.75%;left:5.8%;width:83.33%;height:1.5%'><span
 lang=3DEN-US style=3D'font-size:33%;color:#003300;mso-fareast-language:ZH-=
CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:85.0%;left:5.8%;width:93.82%;height:5.75%'><span
 style=3D'position:absolute;top:0%;left:3.99%;width:96.0%;height:100.0%'><s=
pan
 style=3D'font-size:133%;color:#003300'><span style=3D'mso-special-format:"=
numbullet0\,1";
 position:absolute;left:-4.15%'>a.</span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span></span><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-fareast-langu=
age:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>8 =3D 2<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>b. </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:=
133%;
 color:#003300;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</spa=
n><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;1
 =3D &#8211;1<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>c.</span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 color:#003300;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</spa=
n><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;27
 =3D &#8211;3 &#13;</span></span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:90.5%;left:5.8%;width:83.33%;height:2.75%'><span
 lang=3DEN-US style=3D'font-size:67%;color:#003300;mso-fareast-language:ZH-=
CN;
 display:none'>&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:93.0%;left:5.8%;width:83.33%;height:5.75%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>d. </span><span
 lang=3DEN-US style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-=
fareast-language:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>16 =3D 2<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>e. </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:=
133%;
 color:#003300;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</spa=
n><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;16
 =3D</span><span lang=3DEN-US style=3D'font-family:\5B8B\4F53;mso-fareast-f=
ont-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;color:#003300;
 mso-fareast-language:ZH-CN;mso-special-format:lastCR;display:none'>&#13;</=
span></div>
 </div>
 <div v:shape=3D"_x0000_s191516" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:10.48%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s191517" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:39.32%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s191518" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:69.28%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s191522" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:92.0%;left:10.11%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>4</b></span></div>
 <div v:shape=3D"_x0000_s191523" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:92.0%;left:39.13%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>4</b></span></div>
 <div v:shape=3D"_x0000_s191524" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:49.75%;left:5.99%;width:90.63%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>Higher Root&#13;</b=
></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:55.0%;left:5.99%;width:90.63%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;mso-fareast-language:ZH-CN;display:none'><b>&#13;</=
b></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:56.25%;left:5.99%;width:106.36%;height:5.25%'><span lang=3DEN=
-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>If r</span><span lang=
=3DEN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>3</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the cube root of x.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>We write this as </span></span><span style=3D'position:absolute;
 top:61.25%;left:5.99%;width:106.55%;height:5.75%'><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;mso-fareast-language:ZH-CN;
 mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-size:1=
33%;
 mso-fareast-language:ZH-CN'>x =3D r. In general, if r </span><span lang=3D=
EN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>k</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the k&#8217;th root of x, </span></span><span
 style=3D'position:absolute;top:66.5%;left:5.99%;width:92.5%;height:5.75%'>=
<span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>and we wr=
ite it
 as r =3D </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>In the cases of even roots, &#13;=
</span></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:72.0%;left:5.99%;width:100.74%;height:5.75%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>i.e. k =3D 2, 4, 6, &#=
8230; we
 must have x &gt; 0 and that </span><span lang=3DEN-US style=3D'font-family=
:Symbol;
 font-size:133%;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</sp=
an><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x =3D r &=
gt; 0.</span></div>
 </div>
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t:
 6.75%'><span lang=3DEN-US style=3D'font-size:178%;mso-fareast-language:ZH-=
CN;
 mso-special-format:lastCR;display:none'>&#13;</span></span></div>
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mily:
 Arial;font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Example D. =
Find
 the distance between (&#8211;1, 3) and (2, &#8211;4).</span></div>
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soku-overflow:
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soku-overflow:
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ze:178%;
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 width:3.18%;height:.75%'><![endif]>
 <div v:shape=3D"_x0000_s192539">
 <div class=3DO1 style=3D'mso-margin-left-alt:504'></div>
 <div class=3DO2 style=3D'mso-margin-left-alt:792'></div>
 <div class=3DO3 style=3D'mso-margin-left-alt:1080'></div>
 <div class=3DO4 style=3D'mso-margin-left-alt:1368'></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:78.75%;left:5.8%;width:83.33%;height:5.25%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>Example
 D. &#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:83.75%;left:5.8%;width:83.33%;height:1.5%'><span
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CN'><span
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 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:85.0%;left:5.8%;width:93.82%;height:5.75%'><span
 style=3D'position:absolute;top:0%;left:3.99%;width:96.0%;height:100.0%'><s=
pan
 style=3D'font-size:133%;color:#003300'><span style=3D'mso-special-format:"=
numbullet0\,1";
 position:absolute;left:-4.15%'>a.</span></span><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span></span><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-fareast-langu=
age:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>8 =3D 2<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>b. </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:=
133%;
 color:#003300;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</spa=
n><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;1
 =3D &#8211;1<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>c.</span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 color:#003300;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</spa=
n><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;27
 =3D &#8211;3 &#13;</span></span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:90.5%;left:5.8%;width:83.33%;height:2.75%'><span
 lang=3DEN-US style=3D'font-size:67%;color:#003300;mso-fareast-language:ZH-=
CN;
 display:none'>&#13;</span></div>
 <div class=3DO style=3D'mso-margin-left-alt:216;mso-char-wrap:0;mso-kinsok=
u-overflow:
 0;position:absolute;top:93.0%;left:5.8%;width:92.88%;height:5.75%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>d. </span><span
 lang=3DEN-US style=3D'font-family:Symbol;font-size:133%;color:#003300;mso-=
fareast-language:
 ZH-CN;mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-=
size:
 133%;color:#003300;mso-fareast-language:ZH-CN'>16 =3D 2<span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>e. </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:=
133%;
 color:#003300;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</spa=
n><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>&#8211;16
 =3D doesn&#8217;t exist (not real)</span><span lang=3DEN-US style=3D'font-=
family:
 \5B8B\4F53;mso-fareast-font-family:\5B8B\4F53;mso-hansi-font-family:Arial;
 font-size:133%;color:#003300;mso-fareast-language:ZH-CN;mso-special-format:
 lastCR;display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s192540" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:10.48%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s192541" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:39.32%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s192542" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:84.25%;left:69.28%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>3</b></span></div>
 <div v:shape=3D"_x0000_s192543" class=3DO>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:49.75%;left:5.99%;width:90.63%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'><b>Higher Root&#13;</b=
></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:55.0%;left:5.99%;width:90.63%;height:1.25%'><span lang=3DEN-US
 style=3D'font-size:28%;mso-fareast-language:ZH-CN;display:none'><b>&#13;</=
b></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0'><span style=3D'posit=
ion:
 absolute;top:56.25%;left:5.99%;width:106.36%;height:5.25%'><span lang=3DEN=
-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>If r</span><span lang=
=3DEN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>3</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the cube root of x.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>We write this as </span></span><span style=3D'position:absolute;
 top:61.25%;left:5.99%;width:106.55%;height:5.75%'><span lang=3DEN-US
 style=3D'font-family:Symbol;font-size:133%;mso-fareast-language:ZH-CN;
 mso-char-type:symbol'>&Ouml;</span><span lang=3DEN-US style=3D'font-size:1=
33%;
 mso-fareast-language:ZH-CN'>x =3D r. In general, if r </span><span lang=3D=
EN-US
 style=3D'font-size:89%;position:relative;top:-.45em;mso-text-raise:30%;
 mso-fareast-language:ZH-CN'>k</span><span lang=3DEN-US style=3D'font-size:=
133%;
 mso-fareast-language:ZH-CN'><span style=3D'mso-spacerun:yes'>&nbsp;</span>=
=3D x,
 then we say r is the k&#8217;th root of x, </span></span><span
 style=3D'position:absolute;top:66.5%;left:5.99%;width:92.5%;height:5.75%'>=
<span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>and we wr=
ite it
 as r =3D </span><span lang=3DEN-US style=3D'font-family:Symbol;font-size:1=
33%;
 mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>In the cases of even roots, &#13;=
</span></span></div>
 <div style=3D'mso-char-wrap:0;mso-kinsoku-overflow:0;position:absolute;
 top:72.0%;left:5.99%;width:100.74%;height:5.75%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>i.e. k =3D 2, 4, 6, &#=
8230; we
 must have x &gt; 0 and that </span><span lang=3DEN-US style=3D'font-family=
:Symbol;
 font-size:133%;mso-fareast-language:ZH-CN;mso-char-type:symbol'>&Ouml;</sp=
an><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>x =3D r &=
gt; 0.</span></div>
 </div>
 <div v:shape=3D"_x0000_s192544" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:92.0%;left:10.11%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>4</b></span></div>
 <div v:shape=3D"_x0000_s192545" class=3DO style=3D'mso-char-wrap:0;mso-kin=
soku-overflow:
 0;position:absolute;top:92.0%;left:39.13%;width:1.49%;height:3.25%'><span
 lang=3DEN-US style=3D'font-size:78%;color:red;mso-fareast-language:ZH-CN'>=
<b>4</b></span></div>
</p:slide></div>

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		if( document.all("NSPlay") )
			document.all("NSPlay").autoStart =3D false;
		if( sld.filters && sld.filters.revealtrans )
			setTimeout( "document.body.start()", sld.filters.revealtrans.duration * =
1000 );
		else
			document.body.start();
	}
}
function MakeSldVis()
{
	var fTrans=3Dg_showAnimation && SldHasTrans()
	if( fTrans )
	{
		if( g_bgSound ) {
			idx=3Dg_bgSound.indexOf(",");
			pptSound.src=3Dg_bgSound.substr( 0, idx );
			pptSound.loop=3D -(parseInt(g_bgSound.substr(idx+1)));
		}
		SlideObj.filters.revealtrans.Apply()
    }
	SlideObj.style.visibility=3D"visible"
	if( fTrans )
		SlideObj.filters.revealtrans.Play()
}
function MakeNotesVis()
{
	if( !IsNts() ) return false
	SlideObj.style.display=3D"none"
	nObj =3D document.all.item("NotesObj")
	parent.SetHasNts(0)
	if( nObj ) {
		nObj.style.display=3D""
		parent.SetHasNts(1)
	}
	return 1
}
function ChkAutoAdv()
{
	if(SldHasTrans())
		SlideObj.onfilterchange=3DAutoAdv
	else
		AutoAdv()
}
function AutoAdv()
{
	if(!IsWin("PPTSld") || !gUseSldTimings )return
	var sld=3DGetCurSld()
	if( (sld.mAdvDelay>0) && !parent.IsFramesMode() )
		setTimeout("parent.GoToNextSld()",sld.mAdvDelay)
}
function GetObj(id)
{
	if(g_supportsPPTHTML) return document.all(id);
	else return document.getElementById(id);
}
function SldHasTrans() { return SlideObj.style.getAttribute("filter")!=3D""=
 }
function GetSldId() { return sId=3Dlocation.href.substring(location.href.la=
stIndexOf('/')+1) }
function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx=
tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl=
e.display=3D'none'; return true } return false }
function IsWin( name ) { return window.name =3D=3D name }
function IsNts() { return IsWin("PPTNts") }
function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) }
function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"=
 && navigator.appVersion.indexOf("Windows")>0 ) }
function SupportsPPTHTML()
{
	var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0
	if( msie >=3D 0 )
		ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) )
	else
		ver=3DparseInt(appVer)
	return( ver >=3D 4 && msie >=3D 0 )
}
function _RSW()
{
	if( !g_supportsPPTHTML || IsNts() ||
	  ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) )
		return
        var padding=3D0;
        if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6
	cltWidth=3Ddocument.body.clientWidth-padding
	cltHeight=3Ddocument.body.clientHeight-padding
	factor=3D(1.0*cltWidth)/g_origW
	if( cltHeight < g_origH*factor )
		factor=3D(1.0*cltHeight)/g_origH
	newSize =3D g_origSz * factor
	if( newSize < 1 ) newSize=3D1
	s=3DSlideObj.style
	s.fontSize=3DnewSize+"px"
	s.posWidth=3Dg_origW*factor
	s.posHeight=3Dg_origH*factor
	s.posLeft=3D(cltWidth-s.posWidth+padding)/2
	s.posTop=3D(cltHeight-s.posHeight+padding)/2
	if( g_scaleHyperlinks )
		ScaleHyperlinks( factor )
}
function _InitAnimations()
{
	animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined';
	isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode();
	g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !(isFullSc=
reen && parent.IsSldVisited());
	if( g_animUseRuntime ) {
		collSeq =3D document.all.tags("seq");
		if( collSeq !=3D null ) {
			for(ii=3D0;ii<collSeq.length;ii++) {
				if( collSeq[ii].getAttribute( "p:nodeType" ) =3D=3D "mainSeq" ) {
					g_animMainSequence =3D collSeq[ii];
					break;
				}
			}
		}
		if( g_animItemsToHide ) {
			for(jj =3D 0; jj < g_animItemsToHide.length; jj++) {
				if( hideObj =3D GetObj(g_animItemsToHide[jj]) )
					hideObj.runtimeStyle.visibility=3D"hidden";
			}
		}
		if( g_animInteractiveItems ){
			for(jj =3D 0; jj < g_animInteractiveItems.length; jj++) {
				if( triggerObj =3D GetObj(g_animInteractiveItems[jj]) )
					triggerObj.runtimeStyle.cursor=3D"hand";
			}
		}
		if( gUseSldTimings && ''+g_animSlideTime !=3D 'undefined' ) {
			adjustedTime =3D document.body.calculateAutoAdvanceTimes( g_animSlideTim=
e, g_animEffectTimings );
			if( IsWin("PPTSld") && adjustedTime !=3D g_animSlideTime ) {
			   var sld =3D GetCurSld();
			   sld.mAdvDelay =3D adjustedTime * 1000;
			}
		}
	}
	return g_animUseRuntime;
}
gSldJump =3D 0, gSldJumpTrack =3D 0, gSldJumpIdx =3D "";
function _KPH()
{
	if( IsNts() ) return;
	if( !parent.IsFramesMode() && event.keyCode =3D=3D 27 && !HideMenu() )
		parent.window.close( self );
	else if( event.keyCode =3D=3D 32 ) {
		if( window.name =3D=3D "PPTSld" )
			parent.PPTSld.DocumentOnClick();
		else
			parent.GoToNextSld();
	}
	CatchNumKeys( parent, event );
}
function CatchNumKeys( win, event ) {
	if( win.IsFullScrMode() && (48<=3Devent.keyCode) && (event.keyCode<=3D57) =
) {
		gSldJump =3D 1;
		gSldJumpIdx +=3D (event.keyCode-48).toString();
	}
	if( win.IsFullScrMode() && gSldJump && event.keyCode =3D=3D 13 ) {
		var numSlds =3D parent.GetSldList().mList.length
		if ( gSldJumpIdx > numSlds )
			gSldJumpIdx =3D numSlds;
		if ( gSldJumpIdx >=3D 0 ) {
			if ( gSldJumpIdx =3D=3D 0 )
				gSldJumpIdx =3D 1;
			var jumpTo =3D parseInt(gSldJumpIdx);
			gSldJump =3D 0; gSldJumpIdx =3D "";
			win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref )
		}
	}
}
function _KDH()
{
	if( event.keyCode =3D=3D 8 ) {
		event.returnValue =3D 0;
		parent.GoToPrevSld();
	}
}
function DocumentOnClick()
{
	if( IsNts() || parent.HideMenu() ) return;
	if( ( g_allowAdvOnClick && !parent.IsFramesMode() ) ||
	    (event && (event.keyCode=3D=3D32) ) )
		parent.GoToNextSld();
}

var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""=
, g_bgSound=3D"",
    g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser =
=3D 0, gLoopCont =3D 0, gUseSldTimings =3D 1;
var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w=
indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va=
r g_animManager =3D null;
var g_animUseRuntime =3D false;
var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime;
var g_animMainSequence =3D null;
var ENDSHOW_MESG=3D"End of slide show, click to exit.", SCREEN_MODE=3D"Fram=
es", gIsEndShow=3D0, NUM_VIS_SLDS=3D86, SCRIPT_HREF=3D"script.js", FULLSCR_=
HREF=3D"fullscreen.htm";
var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO=
tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D true
window.gPPTHTML=3DSupportsPPTHTML()
var gMainDoc=3Dnew Array(new hrefList("slide0010.htm",1,-1,1),new hrefList(=
"slide0086.htm",1,-1,1),new hrefList("slide0087.htm",1,-1,1),new hrefList("=
slide0088.htm",1,-1,1),new hrefList("slide0089.htm",1,-1,1),new hrefList("s=
lide0090.htm",1,-1,1),new hrefList("slide0091.htm",1,-1,1),new hrefList("sl=
ide0092.htm",1,-1,1),new hrefList("slide0093.htm",1,-1,1),new hrefList("sli=
de0094.htm",1,-1,1),new hrefList("slide0096.htm",1,-1,1),new hrefList("slid=
e0095.htm",1,-1,1),new hrefList("slide0023.htm",1,-1,1),new hrefList("slide=
0097.htm",1,-1,1),new hrefList("slide0098.htm",1,-1,1),new hrefList("slide0=
099.htm",1,-1,1),new hrefList("slide0100.htm",1,-1,1),new hrefList("slide01=
01.htm",1,-1,1),new hrefList("slide0102.htm",1,-1,1),new hrefList("slide010=
3.htm",1,-1,1),new hrefList("slide0105.htm",1,-1,1),new hrefList("slide0081=
.htm",1,-1,1),new hrefList("slide0106.htm",1,-1,1),new hrefList("slide0107.=
htm",1,-1,1),new hrefList("slide0108.htm",1,-1,1),new hrefList("slide0109.h=
tm",1,-1,1),new hrefList("slide0110.htm",1,-1,1),new hrefList("slide0111.ht=
m",1,-1,1),new hrefList("slide0112.htm",1,-1,1),new hrefList("slide0113.htm=
",1,-1,1),new hrefList("slide0114.htm",1,-1,1),new hrefList("slide0115.htm"=
,1,-1,1),new hrefList("slide0028.htm",1,-1,1),new hrefList("slide0116.htm",=
1,-1,1),new hrefList("slide0117.htm",1,-1,1),new hrefList("slide0118.htm",1=
,-1,1),new hrefList("slide0040.htm",1,-1,1),new hrefList("slide0119.htm",1,=
-1,1),new hrefList("slide0120.htm",1,-1,1),new hrefList("slide0121.htm",1,-=
1,1),new hrefList("slide0122.htm",1,-1,1),new hrefList("slide0123.htm",1,-1=
,1),new hrefList("slide0124.htm",1,-1,1),new hrefList("slide0125.htm",1,-1,=
1),new hrefList("slide0126.htm",1,-1,1),new hrefList("slide0085.htm",1,-1,1=
),new hrefList("slide0128.htm",1,-1,1),new hrefList("slide0129.htm",1,-1,1)=
,new hrefList("slide0130.htm",1,-1,1),new hrefList("slide0131.htm",1,-1,1),=
new hrefList("slide0132.htm",1,-1,1),new hrefList("slide0133.htm",1,-1,1),n=
ew hrefList("slide0127.htm",1,-1,1),new hrefList("slide0139.htm",1,-1,1),ne=
w hrefList("slide0140.htm",1,-1,1),new hrefList("slide0141.htm",1,-1,1),new=
 hrefList("slide0142.htm",1,-1,1),new hrefList("slide0143.htm",1,-1,1),new =
hrefList("slide0144.htm",1,-1,1),new hrefList("slide0145.htm",1,-1,1),new h=
refList("slide0082.htm",1,-1,1),new hrefList("slide0169.htm",1,-1,1),new hr=
efList("slide0170.htm",1,-1,1),new hrefList("slide0147.htm",1,-1,1),new hre=
fList("slide0148.htm",1,-1,1),new hrefList("slide0149.htm",1,-1,1),new href=
List("slide0146.htm",1,-1,1),new hrefList("slide0168.htm",1,-1,1),new hrefL=
ist("slide0171.htm",1,-1,1),new hrefList("slide0150.htm",1,-1,1),new hrefLi=
st("slide0151.htm",1,-1,1),new hrefList("slide0152.htm",1,-1,1),new hrefLis=
t("slide0153.htm",1,-1,1),new hrefList("slide0154.htm",1,-1,1),new hrefList=
("slide0155.htm",1,-1,1),new hrefList("slide0156.htm",1,-1,1),new hrefList(=
"slide0157.htm",1,-1,1),new hrefList("slide0158.htm",1,-1,1),new hrefList("=
slide0163.htm",1,-1,1),new hrefList("slide0159.htm",1,-1,1),new hrefList("s=
lide0160.htm",1,-1,1),new hrefList("slide0161.htm",1,-1,1),new hrefList("sl=
ide0162.htm",1,-1,1),new hrefList("slide0166.htm",1,-1,1),new hrefList("sli=
de0167.htm",1,-1,1),new hrefList("slide0084.htm",1,-1,1));
function FullScrInit()
{
	g_allowAdvOnClick =3D GetCurSld().mAdvOnClk
	document.body.style.backgroundColor=3D"black"
	document.oncontextmenu=3Dparent._CM;
	document.onkeydown =3D _KDH;
	document.ondragstart=3DCancel
	document.onselectstart=3DCancel
	self.focus()
}
function Redirect( frmId )
{
	var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId()
	if(idx>=3D0) str=3Dstr.substr(1);
	if( window.name !=3D frmId && ( sId !=3D str) ) {
		obj =3D GetObj("Main-File")
		window.location.href=3Dobj.href+"#"+sId
		return 1
	}
	return 0
}
var MHTMLPrefix =3D CalculateMHTMLPrefix();
function CalculateMHTMLPrefix()
{
	if ( document.location.protocol =3D=3D 'mhtml:') {
		href=3Dnew String(document.location.href)
		Start=3Dhref.indexOf('!')+1
		End=3Dhref.lastIndexOf('/')+1
		if (End < Start)
			return href.substring(0, Start)
		else
		return href.substring(0, End)
	}
	return '';
}
function GetTags(base,tag)
{
	if(g_supportsPPTHTML) return base.all.tags(tag);
	else return base.getElementsByTagName(tag);
}
function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP=
refix+GetHrefObj( gCurSld ).mNtsHref ) }
function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() }
function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() }
function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() }
function SetHasNts( fVal )
{
	if( gHasNts !=3D fVal ) {
		gHasNts=3DfVal
		UpdNavPane()
	}
}
function ToggleOtlText()
{
	gOtlTxtExp=3D!gOtlTxtExp
	UpdOtlPane()
}
function ToggleOtlPane()
{
	frmset=3Ddocument.all("PPTHorizAdjust")
	frm=3Ddocument.all("PPTOtl")
	if( gOtlOpen )
		frmset.cols=3D"*,100%"
	else
		frmset.cols=3D"25%,*"
	gOtlOpen=3D!gOtlOpen
	frm.noResize=3D!frm.noResize
	UpdOtNavPane()
}
function ToggleNtsPane()
{
	frmset=3Ddocument.all("PPTVertAdjust")
	frm=3Ddocument.all("PPTNts")
	if( gNtsOpen )
		frmset.rows=3D"100%,*"
	else
		frmset.rows=3D"*,20%"
	gNtsOpen=3D!gNtsOpen
	UpdNtsPane()
}
function ClearMedia()
{
	if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0;
}
function FullScreen()
{
	if ( PPTSld.g_animUseRuntime )
		PPTSld.document.body.pause();
	ClearMedia();
	var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF =
: FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref;
	if(PPTNav.event.ctrlKey) {
		var w =3D (window.screen.availWidth * 1.0) / 2.0
		var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW
		win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top=
=3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h );
		if( PPTSld.g_animUseRuntime )
			win.document.body.PPTSldFrameset=3Dwindow;
	}
	else
	{
		win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" );
		if( PPTSld.g_animUseRuntime )
			win.document.body.PPTSldFrameset=3Dwindow;
	}
}
function ToggleVNarration()
{
	rObj=3DPPTSld.document.all("NSPlay")
	if( rObj && !PPTSld.g_animUseRuntime ) {
		if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) )
			rObj.Play()
		else if( rObj.playState =3D=3D 2 )
			rObj.Pause()
		else
			return;
	}
	else if( PPTSld.g_animUseRuntime )
	{
		narObj =3D PPTSld.document.all("narrationID")
		if( narObj )
			narObj.togglePause()
	}
}
function GetCurSldNum()
{
	obj=3DGetHrefObj(gCurSld)
	if( obj.mOrigVis =3D=3D 1 )
		return obj.mSldIdx
	else
		return gCurSld
}
function GetNumSlds()
{
	if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 )
		return GetSldList().mNumVisSlds;
	else
		return GetSldList().mList.length
}
function GetSldNum( href )
{
	for(ii=3D0; ii<GetSldList().mList.length; ii++) {
		if ( GetSldList().mList[ii].mSldHref =3D=3D href )
			return ii+1
	}
	return 1
}
function GetHrefObj( sldIdx ){ return GetSldList().mList[sldIdx-1] }
function IsFramesMode(){ return ( SCREEN_MODE =3D=3D "Frames" ) }
function IsFullScrMode(){ return ( SCREEN_MODE =3D=3D "FullScreen" ) }
function GoToNextSld()
{
	ii=3DgCurSld + 1
	if( GetHrefObj( ii-1 ).mOrigVis =3D=3D 0 ) {
		if( ii<=3DGetSldList().mList.length ) {
			obj=3DGetHrefObj(ii)
			obj.mVis=3D1
			GoToSldNum(ii)
			return
		}
	}
	else {
		obj=3DGetHrefObj( ii )
		while ( obj && ( obj.mOrigVis =3D=3D 0 ) )
			obj=3DGetHrefObj(++ii)
		if( obj && obj.mOrigVis ) {
			GoToSldNum(ii)
			return
		}
	}
	if( gSldStack.length > 1 )
		PopSldList();
	else if( !IsFramesMode() ) {
                if( gLoopCont )
			GoToFirst()
                else
			EndShow()
	}
}
function GoToPrevSld()
{
	ii=3DgCurSld-1
	if( ii > 0 ) {
		obj=3DGetHrefObj(ii)
		while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) )
			obj=3DGetHrefObj(--ii)
        if( ii =3D=3D 0 ) ii=3D1
		GoToSldNum(ii)
	}
}
function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) }
function GoToLast()
{
	ii=3DGetSldList().mList.length
	if( ii !=3D gCurSld )
		GoToSld( GetHrefObj(ii).mSldHref )
}
function GoToSldNum( num )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	obj =3D GetHrefObj( num )
	obj.mVis=3D1
	gPrevSld=3DgCurSld
	gCurSld =3D num;
	PPTSld.location.replace(MHTMLPrefix+obj.mSldHref)
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}
function GoToSld( href )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	GetHrefObj( GetSldNum(href) ).mVis=3D1
	PPTSld.location.replace(MHTMLPrefix+href)
}
function SldUpdated( id )
{
	if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return
	gPrevSld=3DgCurSld
	gCurSld=3DGetSldNum(id)
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}
function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) }
function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO=
bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) }
function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) }
function CloseWindow() {
	if( HideMenu() ) return;
	var event =3D PPTSld.event;
	if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D=
=3D32 || event.type=3D=3D"click" ) )
		window.close( self );
	CatchNumKeys( self, event );
}
function Unload() { gIsEndShow=3D0; }
function SetupEndShow() {
	gIsEndShow=3D1;
	PPTSld.document.body.scroll=3D"no";
	PPTSld.document.onkeypress=3DCloseWindow;
	PPTSld.document.onclick=3DCloseWindow;
	PPTSld.document.oncontextmenu=3D_CM;
}
function EndShow()
{
	if( IsFramesMode() ) return
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	doc=3DPPTSld.document
	doc.open()
	doc.writeln('<html><body bgcolor=3Dblack onload=3Dparent.SetupEndShow() on=
unload=3Dparent.Unload()><center><p><font face=3DTahoma color=3Dwhite size=
=3D2><br><b>' + ENDSHOW_MESG + '</b></font></p></center></body></html>')
	doc.close()
}
function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue }
function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited }
function hrefList( sldHref, visible, advDelay, advClk )
{
	this.mSldHref=3D this.mNtsHref =3D sldHref
	this.mOrigVis=3D this.mVis =3D visible
	this.mVisited=3D false
	this.mAdvDelay=3D advDelay
	this.mAdvOnClk=3D advClk
}
function SldList(arr,curSld,fEnd)
{
	this.mCurSld =3D curSld;
	this.mList =3D new Array();
	var idx =3D 1;
	for(ii=3D0;ii<arr.length;ii++) {
		this.mList[ii] =3D new hrefList( arr[ii].mSldHref, arr[ii].mOrigVis, arr[=
ii].mAdvDelay, arr[ii].mAdvOnClk );
		if( arr[ii].mOrigVis )
			this.mList[ii].mSldIdx =3D idx++;
	}
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	}
}
function Upd(){ if( IsWin("PPTNav") ) LoadNav("NavObj",UpdNav) }
function LoadNav( oId,UpdFunc )
{
	document.ondragstart=3DCancelDrag
	document.onselectstart=3DCancelDrag
	document.body.style.margin=3D2
	UpdFunc()
	obj=3Ddocument.all.item(oId)
	obj.style.display=3D"block"
	obj.style.visibility=3D"visible"
	document.bgColor=3D"threedface"
	if( parent.frames["PPTNts"] )
		notesBtn.style.display =3D ""
	if( parent.gHasNarration )
		nb_voiceBorder.style.display =3D ""
}
function LoadOtl()
{
	var otl=3DGetObj("OtlObj")
	otl.style.display=3D"block"
	otl.style.visibility=3D"visible"
	if( gOtlActiveClr =3D=3D "" ) gOtlActiveClr=3Ddocument.linkColor
	if( gOtlHiliteClr =3D=3D "" ) gOtlHiliteClr=3Ddocument.fgColor
	if( gOtlNormalClr =3D=3D "" )
		gOtlNormalClr=3Ddocument.bgColor
	else
		document.bgColor=3DgOtlNormalClr
	InitArray()
	if( ObjExists( parent.gCurSld ) ) {
		ChangeState( parent.gCurSld,gOtlNormalClr,gOtlHiliteClr )
		gSelected=3Dparent.gCurSld
	}
	else gSelected =3D -1
	UpdOtl()
}
function UpdOtl(){ UpdIdx(parent.gCurSld) }
function UpdIdx( idx )
{
	if( gSelected !=3D idx ) {
		if( gSelected > 0 )
			ChangeState( gSelected,gOtlHiliteClr,gOtlNormalClr )
		if( ObjExists( idx ) ) {
			gSelected =3D idx
			ChangeState( gSelected,gOtlNormalClr,gOtlHiliteClr )
		}
		else gSelected =3D -1
	}
	if( gTxtState !=3D parent.gOtlTxtExp ) {
		state =3D "block"
		if( !parent.gOtlTxtExp )
			state=3D"none"
		for(ii=3D0; ii<gChildEntryTable.length; ii++) {
			obj=3DgChildEntryTable[ii];
			if( obj.id =3D=3D null ) continue;
			if( obj.id.indexOf("PPTC") >=3D 0 )
				obj.style.display=3Dstate;
		}
		gTxtState=3Dparent.gOtlTxtExp
		if( ObjExists( gSelected ) )
			ChangeState( gSelected,gOtlNormalClr,gOtlHiliteClr )
	}
}
function InitArray()
{
	count=3D0
	var list=3DGetTags(document,"DIV");
	for(ii=3D0; ii<list.length; ii++) {
		obj=3Dlist.item(ii)
		if( obj.id =3D=3D null ) continue
		if( obj.id.indexOf("PPTC") >=3D 0 )
			gChildEntryTable[count++]=3Dobj
	}
}
function ChangeState( idx,fgColor,bgColor )
{
	obj=3DGetObj("PPTL"+idx)
	obj.style.color=3DfgColor
	obj=3DGetObj("PPTP"+idx)
	obj.style.backgroundColor=3DbgColor
}
function ChgClr( o,clr ){ if( o.id !=3D "PPTL"+gSelected ) o.style.color=3D=
clr }
function Over( src ){ ChgClr(GetLink(src),gOtlActiveClr) }
function Out( src ){ ChgClr(GetLink(src),gOtlHiliteClr) }
function Follow(src){ window.location.href =3D GetLink(src).href; }
function ObjExists( ii ) { obj=3DGetObj("PPTP"+ii ); return( obj ) }
function GoToSld( href ){ UpdIdx(parent.GetSldNum(href)); parent.GoToSld( h=
ref ) }
function CancelDrag(){ window.event.cancelBubble=3Dtrue;window.event.return=
Value=3Dfalse}
function GetLink(src)
{
   if(src.tagName=3D=3D"A") return src
   else return GetTags(src,"A").item(0)
}
function UpdNav()
{
	txt =3D "<center>";
	if( parent.GetHrefObj( parent.gCurSld ).mOrigVis =3D=3D 1 )
		txt +=3D "Slide " + parent.GetCurSldNum() + " of " + parent.GetNumSlds()
	else
		txt +=3D "Hidden Slide"
	txt +=3D "</center>";
	nav_text.innerHTML =3D txt;
	if( !parent.HasPrevSld() )
		gBtnArr["nb_prev"].Enabled(0)
	else
		gBtnArr["nb_prev"].Enabled(1)
	if( !parent.HasNextSld() )
		gBtnArr["nb_next"].Enabled(0)
	else
		gBtnArr["nb_next"].Enabled(1)
	gBtnArr["nb_nts"].SetEnabled()
	gBtnArr["nb_nts"].SetFlag( parent.gHasNts )
	gBtnArr["nb_sldshw"].Enabled(1)
	gBtnArr["nb_voice"].Enabled(1)
}
function UpdOtlNav()
{
	gBtnArr["nb_otl"].SetEnabled();
	if( parent.gOtlOpen )
		gBtnArr["nb_otlTxt"].Enabled( true );
	else
		document.all.item("nb_otlTxtBorder").style.visibility =3D "hidden";
}

//--></script>
<style>
<!--.PTxt
	{position:relative;
	width:100%;
	margin-top:5px;
	padding-left:2px;
	font-weight:bold;}
.CTxt
	{position:relative;
	width:100%;
	margin-top:5px;}
a
	{color:white;
	text-decoration:none;}
ul
	{color:white;
	margin-bottom:0px;
	margin-left:20px;}
.sldNum
	{margin-top:5px;
	color:white;}
.button
	{position:absolute;
	width:32px;
	height:20px;
	border-style:solid;
	border-width:1px;
	border-color:threedface;}
-->
</style>
</head>

<body onload=3D"Load()" style=3D'margin:2px'>

<div id=3DNavObj onload=3D"Load()" onmouseover=3D"BtnOnOver()"
onmousedown=3D"BtnOnDown()" onmouseout=3D"BtnOnOut()" onmouseup=3D"BtnOnUp(=
)"
onkeypress=3D"_KPH()" style=3D'display:none;visibility:hidden'>
<table id=3D"notesBtn" style=3D'position:absolute;display:none;width:70px' =
align=3Dleft cellpadding=3D0
 cellspacing=3D0>
 <td nowrap>
 <div id=3D"nb_ntsElem" align=3Dcenter style=3D'position:relative;padding:3=
px;
 font-family:Arial;color:buttontext;font-size:9pt'><img src=3D"notes_flag.g=
if"
 border=3D0 id=3D"notes_flag" style=3D'display:none'><span
style=3D'mso-spacerun:yes'>&nbsp; </span>Notes</div>
 <div title=3D"Show/Hide
Notes" id=3D"nb_nts" style=3D'position:absolute;top:0%;
 left:0%;width:100%;height:100%'></div>
 </td>
</table>

<table style=3D'position:relative;width:70px' align=3Dright cellpadding=3D0=
 cellspacing=3D0>
 <td nowrap>
 <div id=3D"nb_sldshwText" title=3D"Full
Screen Slide Show" align=3Dcenter style=3D'position:relative;margin-left:20=
px;padding:3px;
 font-family:Arial;color:buttontext;font-size:9pt;cursor:default'>Slide
Show</div>
 <div id=3D"nb_sldshwBorder" title=3D"Full Screen Slide Show" style=3D'posi=
tion:absolute;top:0%;left:0%;width:100%;height:20px'>
 <div style=3D'position:absolute;clip:rect(0px, 18px, 18px, 0px)'><img
 src=3D"buttons.gif" id=3D"nb_sldshw" style=3D'position:relative;left:-254p=
x'></div>
 </div>
 </td>
 <td>
 <div id=3D"nb_voiceBorder" style=3D'display:none;position:absolute;top:0;l=
eft:-40px;
 width:20px;height:20px'>
 <div style=3D'position:absolute;clip:rect(0px, 18px, 18px, 0px)'><img
 src=3D"buttons.gif" id=3D"nb_voice" title=3D"Pause/Play Narration" style=
=3D'position:
 relative;left:-290px'></div>
 </div>
 </td>
</table>

<table style=3D'position:relative' align=3Dcenter cellpadding=3D0 cellspaci=
ng=3D0>
 <td nowrap>
 <div id=3D"nb_prevBorder" class=3Dbutton style=3D'left:-30px'>
 <div style=3D'position:absolute;clip:rect(0px, 30px, 18px, 0px)'><img
 src=3D"buttons.gif" id=3D"nb_prev" title=3D"Previous Slide" style=3D'posit=
ion:relative;
 left:0px'></div>
 </div>
 <span id=3D"nav_text" style=3D'position:relative;top:3px;width:100px;font-=
family:
 Arial;color:buttontext;font-size:9pt'></span>
 <div id=3D"nb_nextBorder" class=3Dbutton>
 <div style=3D'position:absolute;clip:rect(0px, 30px, 18px, 0px)'><img
 src=3D"buttons.gif" id=3D"nb_next" title=3D"Next Slide" style=3D'position:=
relative;
 left:-90px'></div>
 </div>
 </td>
</table>
</div>

<div id=3DOtlNavObj onload=3D"Load()" onmouseover=3D"BtnOnOver()"
onmousedown=3D"BtnOnDown()" onmouseout=3D"BtnOnOut()" onmouseup=3D"BtnOnUp(=
)"
onkeypress=3D"_KPH()" style=3D'display:none;visibility:hidden'>

<table style=3D'position:relative;width:70px' align=3Dleft cellpadding=3D0 =
cellspacing=3D0>
 <td nowrap><div title=3D"Show/Hide
Outline" id=3D"nb_otl"
 style=3D'position:absolute;top:0%;left:0%;width:100%;height:100%;cursor:de=
fault'>
 <div id=3D"nb_otlElem" align=3Dcenter style=3D'position:relative;padding:3=
px;font-family:Arial;
 color:buttontext;font-size:9pt'>Outline</div></div>
 </td>
</table>

<table style=3D'position:relative' align=3Dcenter cellpadding=3D0 cellspaci=
ng=3D0>
 <td>
 <div style=3D'position:absolute;left:-18px;width:24px;height:20px;border-s=
tyle:
 solid;border-width:1px;border-color:threedface' id=3D"nb_otlTxtBorder">
 <div style=3D'position:absolute;clip:rect(0px, 22px, 18px, 0px)'><img
 src=3Dbuttons.gif id=3D"nb_otlTxt" title=3D"Expand/Collapse Outline"
 style=3D'position:relative;left:-157px'></div>
 </div>
 </td>
</table>

</div>

<div id=3DOtlObj style=3D'display:none;visibility:hidden;'>


<table width=3D"100%" style=3D'font-family:Arial;font-size:9pt'>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>1</font></div>
  </td>
  <td width=3D"100%">
  <div id=3DPPTP1 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0010.htm');" id=3DPPTL1><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>2</font></div>
  </td>
  <td>
  <div id=3DPPTP2 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0086.htm');" id=3DPPTL2><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>3</font></div>
  </td>
  <td>
  <div id=3DPPTP3 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0087.htm');" id=3DPPTL3><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>4</font></div>
  </td>
  <td>
  <div id=3DPPTP4 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0088.htm');" id=3DPPTL4><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>5</font></div>
  </td>
  <td>
  <div id=3DPPTP5 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0089.htm');" id=3DPPTL5><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>6</font></div>
  </td>
  <td>
  <div id=3DPPTP6 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0090.htm');" id=3DPPTL6><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>7</font></div>
  </td>
  <td>
  <div id=3DPPTP7 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0091.htm');" id=3DPPTL7><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>8</font></div>
  </td>
  <td>
  <div id=3DPPTP8 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0092.htm');" id=3DPPTL8><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>9</font></div>
  </td>
  <td>
  <div id=3DPPTP9 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0093.htm');" id=3DPPTL9><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>10</font></div>
  </td>
  <td>
  <div id=3DPPTP10 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0094.htm');" id=3DPPTL10><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>11</font></div>
  </td>
  <td>
  <div id=3DPPTP11 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0096.htm');" id=3DPPTL11><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>12</font></div>
  </td>
  <td>
  <div id=3DPPTP12 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0095.htm');" id=3DPPTL12><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>13</font></div>
  </td>
  <td>
  <div id=3DPPTP13 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0023.htm');" id=3DPPTL13><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>14</font></div>
  </td>
  <td>
  <div id=3DPPTP14 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0097.htm');" id=3DPPTL14><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>15</font></div>
  </td>
  <td>
  <div id=3DPPTP15 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0098.htm');" id=3DPPTL15><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>16</font></div>
  </td>
  <td>
  <div id=3DPPTP16 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0099.htm');" id=3DPPTL16><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>17</font></div>
  </td>
  <td>
  <div id=3DPPTP17 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0100.htm');" id=3DPPTL17><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>18</font></div>
  </td>
  <td>
  <div id=3DPPTP18 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0101.htm');" id=3DPPTL18><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>19</font></div>
  </td>
  <td>
  <div id=3DPPTP19 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0102.htm');" id=3DPPTL19><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>20</font></div>
  </td>
  <td>
  <div id=3DPPTP20 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0103.htm');" id=3DPPTL20><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>21</font></div>
  </td>
  <td>
  <div id=3DPPTP21 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0105.htm');" id=3DPPTL21><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>22</font></div>
  </td>
  <td>
  <div id=3DPPTP22 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0081.htm');" id=3DPPTL22><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>23</font></div>
  </td>
  <td>
  <div id=3DPPTP23 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0106.htm');" id=3DPPTL23><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>24</font></div>
  </td>
  <td>
  <div id=3DPPTP24 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0107.htm');" id=3DPPTL24><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>25</font></div>
  </td>
  <td>
  <div id=3DPPTP25 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0108.htm');" id=3DPPTL25><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>26</font></div>
  </td>
  <td>
  <div id=3DPPTP26 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0109.htm');" id=3DPPTL26><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>27</font></div>
  </td>
  <td>
  <div id=3DPPTP27 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0110.htm');" id=3DPPTL27><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>28</font></div>
  </td>
  <td>
  <div id=3DPPTP28 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0111.htm');" id=3DPPTL28><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>29</font></div>
  </td>
  <td>
  <div id=3DPPTP29 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0112.htm');" id=3DPPTL29><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>30</font></div>
  </td>
  <td>
  <div id=3DPPTP30 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0113.htm');" id=3DPPTL30><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>31</font></div>
  </td>
  <td>
  <div id=3DPPTP31 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0114.htm');" id=3DPPTL31><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>32</font></div>
  </td>
  <td>
  <div id=3DPPTP32 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0115.htm');" id=3DPPTL32><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>33</font></div>
  </td>
  <td>
  <div id=3DPPTP33 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0028.htm');" id=3DPPTL33><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>34</font></div>
  </td>
  <td>
  <div id=3DPPTP34 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0116.htm');" id=3DPPTL34><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>35</font></div>
  </td>
  <td>
  <div id=3DPPTP35 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0117.htm');" id=3DPPTL35><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>36</font></div>
  </td>
  <td>
  <div id=3DPPTP36 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0118.htm');" id=3DPPTL36><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>37</font></div>
  </td>
  <td>
  <div id=3DPPTP37 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0040.htm');" id=3DPPTL37><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>38</font></div>
  </td>
  <td>
  <div id=3DPPTP38 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0119.htm');" id=3DPPTL38><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>39</font></div>
  </td>
  <td>
  <div id=3DPPTP39 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0120.htm');" id=3DPPTL39><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>40</font></div>
  </td>
  <td>
  <div id=3DPPTP40 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0121.htm');" id=3DPPTL40><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>41</font></div>
  </td>
  <td>
  <div id=3DPPTP41 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0122.htm');" id=3DPPTL41><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>42</font></div>
  </td>
  <td>
  <div id=3DPPTP42 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0123.htm');" id=3DPPTL42><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>43</font></div>
  </td>
  <td>
  <div id=3DPPTP43 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0124.htm');" id=3DPPTL43><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>44</font></div>
  </td>
  <td>
  <div id=3DPPTP44 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0125.htm');" id=3DPPTL44><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>45</font></div>
  </td>
  <td>
  <div id=3DPPTP45 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0126.htm');" id=3DPPTL45><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>46</font></div>
  </td>
  <td>
  <div id=3DPPTP46 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0085.htm');" id=3DPPTL46><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>47</font></div>
  </td>
  <td>
  <div id=3DPPTP47 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0128.htm');" id=3DPPTL47><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>48</font></div>
  </td>
  <td>
  <div id=3DPPTP48 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0129.htm');" id=3DPPTL48><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>49</font></div>
  </td>
  <td>
  <div id=3DPPTP49 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0130.htm');" id=3DPPTL49><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>50</font></div>
  </td>
  <td>
  <div id=3DPPTP50 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0131.htm');" id=3DPPTL50><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>51</font></div>
  </td>
  <td>
  <div id=3DPPTP51 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0132.htm');" id=3DPPTL51><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>52</font></div>
  </td>
  <td>
  <div id=3DPPTP52 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0133.htm');" id=3DPPTL52><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(t=
his)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>53</font></div>
  </td>
  <td>
  <div id=3DPPTP53 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0127.htm');" id=3DPPTL53><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>54</font></div>
  </td>
  <td>
  <div id=3DPPTP54 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0139.htm');" id=3DPPTL54><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>55</font></div>
  </td>
  <td>
  <div id=3DPPTP55 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0140.htm');" id=3DPPTL55><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>56</font></div>
  </td>
  <td>
  <div id=3DPPTP56 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0141.htm');" id=3DPPTL56><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>57</font></div>
  </td>
  <td>
  <div id=3DPPTP57 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0142.htm');" id=3DPPTL57><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>58</font></div>
  </td>
  <td>
  <div id=3DPPTP58 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0143.htm');" id=3DPPTL58><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>59</font></div>
  </td>
  <td>
  <div id=3DPPTP59 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0144.htm');" id=3DPPTL59><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>60</font></div>
  </td>
  <td>
  <div id=3DPPTP60 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0145.htm');" id=3DPPTL60><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>61</font></div>
  </td>
  <td>
  <div id=3DPPTP61 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0082.htm');" id=3DPPTL61><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>62</font></div>
  </td>
  <td>
  <div id=3DPPTP62 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0169.htm');" id=3DPPTL62><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>63</font></div>
  </td>
  <td>
  <div id=3DPPTP63 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0170.htm');" id=3DPPTL63><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>64</font></div>
  </td>
  <td>
  <div id=3DPPTP64 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0147.htm');" id=3DPPTL64><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>65</font></div>
  </td>
  <td>
  <div id=3DPPTP65 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0148.htm');" id=3DPPTL65><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>66</font></div>
  </td>
  <td>
  <div id=3DPPTP66 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0149.htm');" id=3DPPTL66><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>67</font></div>
  </td>
  <td>
  <div id=3DPPTP67 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0146.htm');" id=3DPPTL67><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>68</font></div>
  </td>
  <td>
  <div id=3DPPTP68 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0168.htm');" id=3DPPTL68><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>69</font></div>
  </td>
  <td>
  <div id=3DPPTP69 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0171.htm');" id=3DPPTL69><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>70</font></div>
  </td>
  <td>
  <div id=3DPPTP70 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0150.htm');" id=3DPPTL70><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>71</font></div>
  </td>
  <td>
  <div id=3DPPTP71 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0151.htm');" id=3DPPTL71><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>72</font></div>
  </td>
  <td>
  <div id=3DPPTP72 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0152.htm');" id=3DPPTL72><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>73</font></div>
  </td>
  <td>
  <div id=3DPPTP73 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0153.htm');" id=3DPPTL73><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>74</font></div>
  </td>
  <td>
  <div id=3DPPTP74 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0154.htm');" id=3DPPTL74><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>75</font></div>
  </td>
  <td>
  <div id=3DPPTP75 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0155.htm');" id=3DPPTL75><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>76</font></div>
  </td>
  <td>
  <div id=3DPPTP76 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0156.htm');" id=3DPPTL76><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>77</font></div>
  </td>
  <td>
  <div id=3DPPTP77 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0157.htm');" id=3DPPTL77><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>78</font></div>
  </td>
  <td>
  <div id=3DPPTP78 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0158.htm');" id=3DPPTL78><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>79</font></div>
  </td>
  <td>
  <div id=3DPPTP79 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0163.htm');" id=3DPPTL79><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>80</font></div>
  </td>
  <td>
  <div id=3DPPTP80 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0159.htm');" id=3DPPTL80><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>81</font></div>
  </td>
  <td>
  <div id=3DPPTP81 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0160.htm');" id=3DPPTL81><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>82</font></div>
  </td>
  <td>
  <div id=3DPPTP82 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0161.htm');" id=3DPPTL82><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>83</font></div>
  </td>
  <td>
  <div id=3DPPTP83 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0162.htm');" id=3DPPTL83><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>84</font></div>
  </td>
  <td>
  <div id=3DPPTP84 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0166.htm');" id=3DPPTL84><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>85</font></div>
  </td>
  <td>
  <div id=3DPPTP85 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0167.htm');" id=3DPPTL85><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>86</font></div>
  </td>
  <td>
  <div id=3DPPTP86 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0084.htm');" id=3DPPTL86><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
</table>



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