MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C74861.E7C87490" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C74861.E7C87490 Content-Location: file:///C:/A4E94EC3/sample-1-123c.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Math 123c Test 1 bank

Math 123c Test 1 sample

1.  Solve the following equations, giv= e the exact solutions and the numerical approximation (three significant digits) = of the solutions if the solutions are irrational numbers.  If the real solutions do not exist, state so.

 

2x2 – x (x+2)  =3D 3  Ans:  x=3D3,-1        =              2x (= x + 1)  =3D 2x + 7   Ans: ±Ö<= /span>(7/2), ±1.87

 

2x2 +2x&nb= sp; =3D 1         Ans:  x=3D(-1±Ö<= /span>3)/2        =       2x (x – 1)  = =3D - 4    Ans:  x =3D no real solution        =             &nb= sp;            =             &nb= sp;       

        =           =            0.366, -1.37         =         =             &nb= sp;            =           Discriminant is -28

 

2. Graph the following quadratic equations.  Draw the center line of symmetry.  = Find the vertex.  Label the x and y intercepts, if they exist.

 

y =3D x= 2 – 4x – 5        =             &nb= sp;            =             &nb= sp;    y =3D  -x2 &= #8211; 6

Ans: ve= rtex:(2, -9)        =             &nb= sp;            =            Ans: vertex (0, -6)

y intercep= t: (0, -5)        =             &nb= sp;            =            y intercept: (0, -6)

x intercep= t: (5, 0), (-1, 0)        =             &nb= sp;             No x intercept.

 

3. Solve by transforming each equations into second = degree equations first.  Give all the= exact real solutions.

 

x 4 – 3x <= sup>2 + 2 =3D 0        =             &nb= sp;            =           x -2/3 – 5x -1/ 3  + 4 =3D 0  

Ans: x =3D ±Ö 2,   ±1        =             &nb= sp;            =       Ans:  x=3D 1, 1/64

Ans:
 x =3D -6, 3        =             &nb= sp;            =           Ans:= x =3D -1/2, 1

 

4. Solve the following inequalities.  Draw the solution on a line.  Indicate clearly if the end points= are included.

Ans:
 x < -7 or 1< x        =             &nb= sp;        Ans: x < 0 or 5= < x ≤ 10

 

5.  Compute

 

 (5 ̵= 1; 2i)(3 + 2i)        =                   =          (4 – 3i)2        =          

Ans: 19 + 4i        =             &nb= sp;            =       Ans: 7 – 24i

 

 (4 ̵= 1; 3i) / (4 + 3i)

Ans:  (25= – 24i)/ 25

 

------=_NextPart_01C74861.E7C87490 Content-Location: file:///C:/A4E94EC3/sample-1-123c_files/image001.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBYoP+AmYETxAosYgQxmDcyAgkGGbAsKxBzMsFYTIyMUBYj0////8Es PUYJqBg3XB0P0wPmBfpCQJYaGz+DFMN/kGIGASD/AJC1A4gT9BkYZjAD9UDV8DD4JpZkhFQWpALV MHAARX8xQXSAAAsQ6zJCzBZhYmByALOEgaxoZpgYNytMTI0DJrZMAiZWKQ0T+ycDE3sjC/Ljb6aG fxBbJjCC7WJiEAjJzE0tVvBLLVcIys9NzGPYfvR4+QEgVjhwqpyBwQDqHkawO424EpimyYO0GlVC +HmMorIgviGU38N8UgqZn8e4VRJZfQ+zHRuq/iB2EN8cLt/FhCrfC+VjcT8TyP3BlblJ+TkM5Q5A gToRrvXY3c8Epj8g+SNODmSEbSWMf1kaxNeGu+OcJDI/j9GYDZmfwHSWGVl/D3MWOL3owtVnMELU o7ubkcRwh7ibiQFmjxY4vCvg9l6SQObnMZqzosrnMaDK50D5XNDUyAVOseDkwABxqwADO5i3B5zG GZmYlIIri0tSc0E8LgZFhi6wYpDklM9CDDsPHi9HD2NmsH4AUKsjQXgDAAA= ------=_NextPart_01C74861.E7C87490 Content-Location: file:///C:/A4E94EC3/sample-1-123c_files/image002.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh/AEpAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABABW ASIAhAAAAAAAAAUAAA0LCwUIDQsIBQAABQgIDQgFAAAFCAsLDQgFBQ0ICAAFCw0ICw0IBQUICwsF AAsFBQUFCAUFBQECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwX/ICCOZGmSgxAExOm+ cAwU62occq7vfO//wKBQlFq1hq4BIqFAOlGLJu345BVrzKp2y+16Y4PojMUtZr+wcLPEwAGUDfRb XHKsAQ+IfM/v+0ltRAhxXQVnf0R0LxGEX2oxEm6Ik5SVQoxehndaDwE3eAGHc5smSlQ/nZ+doo8v AxOklrKztIKnWppfBQ27J60uDLBIu72liid5tcrLlcGxT7leDAJ6JBE12I0kkU7T1SPX2CvaI9zM 5+ho5oWiW6ZJxyUFt0HvvvEowun7/MP0uO1wUSA34leJZAACCSkwEN4zEQj7SZyoA6HCLdG45HFW QFKiZ51qGHhYEQJHj6Ne/6yjyLLliJA2SF4KOCxAHCUBvhXERyNbEBo3EeQ09vCVTJdImfWsQRDJ lU9ArvxLSrWqVYmPplzdyrWrDINcFMLxSrZsV7BoMJldy7YlWi/2+IQT17St3btvdcz1ecLZ3b+A Ze1lKsecuMOIEyP2obix4xqBI5d4TFncvViNf079Mnic5M9k8+bobNOERZSgU6sWIvoJTE9HV8ue fRnNUs+0c+vezbu37yFS5QT/TdzVkthIs5KBK0Zr8ecFVdC8KnbQl+p1oafOm5Gt2j3ftc/mPn1W KhyrkKNAsFlLXPFtz4NihU9E9x3y02PklT2G3z3/wXcXMU2Rp94JBEpDTW4JpDW1kjqoCbiWNwwi Rs59PFAIF3tAzNOHhxL+9R4UD2G4w4gC9ffCaWiwGCJbDNVl4E8NdbERLB3hh81IX7zG44tm3ahA jiS6EEF5MQhJpBNAvSGUTjHcVlomdAFZVpM4QZlSCU9FCAOWT1YRAgA7 ------=_NextPart_01C74861.E7C87490 Content-Location: file:///C:/A4E94EC3/sample-1-123c_files/image003.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC52TzytEURTHzz13hplnyoTGr1k8ks00jBFWNDsrEsrSj5qijCHy3iuL2VgQZWEh /gArC1Eoi5nElLK2Vf4BJRvKc895P0QWuHXf+37OPT/uPfe9+7ubfeBRSDxICJNaWhUk5JVQD4jz alDNMHoKhXCVQNu2WXWIBtdW5ftF8EEWEjVKtVdUQxPY5AxRxUWlztXMJAD2pIpxfSIwNL0yO24t ZpUPhJT1FZ0IGgE1k8LJXYeA6zFStUptNHq27mbP1hKnvb9h4d2J3uFdBxCi43O57LI+nDX00Xxu egHOrstGUU29eGsApNw6guuntS052UyRpuXxcczh7/nhT/mR309+nQUxwnXSfp1SA3GP5a0f1hN3 WWHmKQyGKYOuRsi1TITII+WzZP5cf6z4yp3MfT7ng8RJ3atwINXlQK/5GTEoOYPpcSt+5Qwgs9Mb 3f5fb4TbG3R7cyq2+fbS5g89R8o7ZuVm8vNgZJShLaBlftfzKXxppBQnptfzI+5x0j9PfyXxgM9r fN6EqblfrMZfNR8PnL1FoZLpkv8Dgdg6Zi2vZHNEGrTAJjvTY/e5Bi5KZeP7mSXHfwBcu9jgnAMA AA== ------=_NextPart_01C74861.E7C87490 Content-Location: file:///C:/A4E94EC3/sample-1-123c_files/image004.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh0AEpAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAYABAAn ASIAhAAAAAAAAAgFAAAFCAsLDQUAAA0LCwUIDQgFBQsIBQ0ICAgIDQAFCwsFAAUFCAsFBQUICwsI CAUABQ0IBQAABQ0ICwgICwUICAAFBQUFCwUFBQECAwECAwECAwECAwECAwX/ICCOZGmeaKqubOu+ cCzPdB0bwkDYrFEEgQNvSCwaj8ikEuUL6JYAA2KXCEKv2Kx2y008l4qFCMfgms/otHrk3Wkb5bV8 Tq/D2lqc0M7v+9d4WQoObn+Gh4hHgVgPYi5NEImSk4iLUAl7LhEEBhKFlKChapZKE5EAYTCNoqyt Ww1fSxNAQBSfLJs0VbY1VbQUji++ma7FNE0BwEu+tHEuE8QvPrw1yECxLRO2PtHG3loJp7LOJ1K3 UQXkNBWFpjB6IhPY3/RXVepFzN1jUyYN1EZWjZiAj4QCCY4OBqvHEMqseT0EJLNQQJm0fiR8XPix TSIFihalESoxqyAAbW64/zVceUVBxXMr2jyAqcIcyQCEcPCSSVOFuxMPb6EcU2Afy6M8XAYQ90ii 0RMNaEmNM/SkFRxWZAhE4RJgVZdPkYp9EZSGQhk2SVRViQphuR/JbhkYmcIlhmBn2y4cm0iq37+A AwMxcS+F4AAj5iYA+Ahj4qIizipmnI1pCZfz4AEgxbezinA8bMK54ZgNr9GiTabYqtYJTXmcIHue jQXrAaUQU6QtETVAGdu4e5aYe44gi2G0k6dgNlW58+fQo0ufTr26FqW+rWunrm+79+cGMnwf/3xW VvLoJc1SVjZiMxvrxbRPT59IAgb3Z9jmcT9//f9EuGQZAL35VdBoNggI4DqCoQkQFgvG2aAZgxTG kIAGqmXz4HEYVujhMxAMQkACe7UgInwhEkLihyyWUBhWA9YFV24uvCjRKSEAADs= ------=_NextPart_01C74861.E7C87490 Content-Location: file:///C:/A4E94EC3/sample-1-123c_files/oledata.mso Content-Transfer-Encoding: base64 Content-Type: application/x-mso 0M8R4KGxGuEAAAAAAAAAAAAAAAAAAAAAPgADAP7/CQAGAAAAAAAAAAAAAAABAAAAAQAAAAAAAAAA EAAAAgAAAAEAAAD+////AAAAAAAAAAD///////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////9 /////v////7///8EAAAABQAAAP7///////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////1IA bwBvAHQAIABFAG4AdAByAHkAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAWAAUA//////////8BAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABDP8fWkSMcB AwAAAEAEAAAAAAAAXwAxADIAMwAyADEAMAAxADgANwAxAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAABgAAgH/////AgAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAABwIAAAAAAABfADEAMgAzADIAMQAwADEAOAA3ADIAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAACAP///////////////wAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAkAAADrAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA//////// ////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAA AAIAAAADAAAABAAAAAUAAAAGAAAABwAAAAgAAAD+////CgAAAAsAAAAMAAAADQAAAA4AAAAPAAAA EAAAAP7///////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////8ADAAA eJy7cF7wwcKNUg8Z0IAdAzPDv/+cDGxIYoxQDAYCDAxMUP6/////w4T/j4IhBf4CMQs0DmF4FIwc EMSQD4QlDAoMrgx5QLqIoRK9KMALxBhY4XkeVB4wnWMCix+ASLshq71w8N3XJR7HGZlBHCZYmeLP kMOQSpKdyICLgYkR2T/E6hNhgNnvDPR/LkMB0B1JDFkk2y8EtB9UBoL8RKz9IPVpUDYz1F5PYOin AV1Cjv0ge1lIsB/kVli5/g8ab7C8zwqVY4eKjYLhDYBpkYkDLX2cUC3jJTb9MQJTCTMXJO2h531x IOGbmVyUX5yfVqLgWliaWJKZn6dgrGfAwAOUcgmGizFwA/kwjp4xwxfLTYXItuSxbDgyk7OCUYQh Mzkxx6ogsSgxvSixIMM6F5SaWRhyU/NKdBPzkjPyi3SBOLMqP68EqI6XS0EhN7EoPTPPOrc4Xzc1 JxWssCS/wErXWM/MtKDEWoYBVBTlHboItcmhUIzB558oJJ8wMjJzcTEy8wG9KdRcwcDUps3A1GEE 5wkpgXlAli0DmiJzIA8qOYP1NbEYbAiyDSCjDME2aDNAJQ2hkhBrQYqJNZ2BQUGhuKQyJ9VWHRQa xQWJyalFrgyFDKUMicCSPxNY+uQB6wE/KK+MqFJZARh6yOmJmDQDKqveEqOQSECq/dQGQ9l+ALPW f7kAdABpAG8AbgAgAE4AYQB0AGkAdgBlAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAADAAAeJy7cF7wwcKNUg8Z0IAdAzPDv/+cDGxIYoxQDAYCDAxMUP6/////w4T/j4IhBf4CMQs0 DmF4FIwcEMSQD4QlDAoMrgx5QLqIoRK9KMALxBhY4XkeVB4wnWMCix+ASLshqy3w+PB1icdxRmYQ hwlWpvgz5DCkkmQnMuBiYGJE9g+x+kQYYPY7A/2fy1AAdEcSQxbJ9gsB7QeVgSA/EWs/SH0alM0M tdcTGPppQJeQYz/IXhYS7Ae5FVau/4PGGyzvs0Ll2KFio2B4A2BaZOJASx8V+mW8IJqTGcLngtLc UJoHSvMyg9Lyv//MXJC0h573xYGEb2ZyUX5xflqJgmthaWJJZn6egrGeAQMPUMolGC7GwA3kwzh6 xgxfLDcVYqZbaai9MlBalhmSmlmg8vJQcQUorQillaC0MpRWgdKqQFqGAVQURRy6CjVjApMEwxle MUg+YWRk5uJiZGpUYGBqrGBg5gcGgSCQawQKE7BomzYDRNYMrALC1gVicwi7zQ4qZgClkfAM1tf4 MDMfMHCZOgyBpFAz0Og2ISWmDlOQa9tSlaCSRlBJBoKmwTDYXy5Q/7sCaVeGQoZShkRgyZ8JLH3y gPWAH5RXRlSpDPQISpuPCC3g+PpIjEIiAan2UxsMZfsB2tZafgCLAwAAAAAAAIwDAAAAAAAAjQMA AAAAAACOAwAAAAAAAI8DAAAAAAAAkAMAAAAAAACRAwAAAAAAAJIDAAAAAAAAkwMAAAAAAACUAwAA AAAAAJUDAAAAAAAAlgMAAAAAAACXAwAAAAAAAJgDAAAAAAAAmQMAAAAAAACaAwAAAAAAAJsDAAAA AAAAnAMAAAAAAACdAwAAAAAAAJ4DAAAAAAAAnwMAAAAAAACgAwAAAAAAAKEDAAAAAAAAogMAAAAA AACjAwAAAAAAAKQDAAAAAAAApQMAAAAAAACmAwAAAAAAAKcDAAAAAAAAqAMAAAAAAACpAwAAAAAA AKoDAAAAAAAAqwMAAAAAAACsAwAAAAAAAK0DAAAAAAAArgMAAAAAAACvAwAAAAAAALADAAAAAAAA sQMAAAAAAACyAwAAAAAAALMDAAAAAAAAtAMAAAAAAAC1AwAAAAAAALYDAAAAAAAAtwMAAAAAAAC4 AwAAAAAAALkDAAAAAAAAugMAAAAAAAC7AwAAAAAAALwDAAAAAAAAvQMAAAAAAAC+AwAAAAAAAL8D AAAAAAAAwAMAAAAAAADBAwAAAAAAAMIDAAAAAAAAwwMAAAAAAADEAwAAAAAAAMUDAAA= ------=_NextPart_01C74861.E7C87490 Content-Location: file:///C:/A4E94EC3/sample-1-123c_files/filelist.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C74861.E7C87490--