{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 1 12 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 1 12 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 266 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 269 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 271 "" 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 }{CSTYLE "" -1 272 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 274 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 275 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 276 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 277 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 278 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 279 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 280 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 281 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 259 10 "MATH-1850 " }{TEXT -1 3 " " }{TEXT 260 21 "COMPUTER PROBLEMS 7&8" }{TEXT -1 56 " DUE: Th ursday, November 2, 2000, in your lab class" }}{PARA 0 "" 0 "" {TEXT -1 17 "\nTeam members: " }{TEXT 267 54 "(All lines for answers below will extend as you type.)" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 16 " (1) " }{TEXT 261 0 "" }{TEXT -1 0 "" }{TEXT 264 9 " " }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 16 " (2) " }{TEXT 262 0 "" } {TEXT -1 0 "" }{TEXT 265 9 " " }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 16 " (3) " }{TEXT 263 0 "" } {TEXT -1 0 "" }{TEXT 266 9 " " }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 24 "Score: / 6" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 24 "Score: \+ / 6" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT 258 33 "INSTRUCTIONS (Click b ox in front)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 " " {TEXT -1 1192 "It is strongly suggested that this project be worked \+ in teams (of up to 3 persons). Approaches may be discussed among diff erent teams, but each team must write their OWN report.\nREQUIREMENTS \+ OF REPORT:\n- Mathematical contents (correctness and completeness) cou nts most. Solve the problems and show all essential calculations (comm ands and output) and plots. Please do not submit work that is not esse ntial (e.g. checking out how the function fplot in Problem 1 works - t his may be essential to your understanding, but it s not essential for the reader).\n- Explain the steps you carry out. Explain the approach es/techniques that you use.\n- Add explanations and answer questions w here asked to do so. By all means, include additional explanations/obs ervations/conclusions that come to your mind! (This could translate to extra credit.)\nHOW TO SUBMIT THE REPORT\nEach team submits ONE print ed copy (stapled) by the due date. (Please save the electronic version , as you will be asked to submit that, too, at a future time.)\nYou ca n print from inside your Maple worksheet (choose File/Print or click o n the printer button). Set the ZOOM FACTOR to 100% (smallest magnifyin g glass) before printing.\n" }{TEXT 256 62 "Please remove these instru ctions before submitting the report." }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 268 7 "PROBL EM" }{TEXT -1 1 " " }{TEXT 279 1 "7" }{TEXT -1 73 " Find the equation of the tangent line(s) to the graph of the function " }{TEXT 256 1 " y" }{TEXT -1 4 " = " }{XPPEDIT 18 0 "2*x/(3*x-4);" "6#*(\"\"#\"\"\"% \"xGF%,&*&\"\"$F%F&F%F%\"\"%!\"\"F+" }{TEXT -1 42 " which passes thro ugh the point (3, - 5)." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 25 "(a) Define the function " }{TEXT 273 1 " y" }{TEXT -1 20 " using Maple syntax:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 39 "(b ) Find a nice graph of the function " }{TEXT 274 1 "y" }{TEXT -1 20 " by restricting the " }{TEXT 257 1 "x" }{TEXT -1 8 " and/or " }{TEXT 258 1 "y" }{TEXT -1 8 " values." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 14 "(c) Find the " }{TEXT 272 5 "exact" }{TEXT -1 14 " value of the " }{TEXT 269 1 "x" }{TEXT -1 57 "-coordinate of the point(s) o n the graph of the function " }{TEXT 275 1 "y" }{TEXT -1 58 " where th e tangent line passes through the point (3, - 5)." }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 5 " " }{TEXT 270 19 "Answer to Part (c) " }{TEXT 271 7 " " } }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 75 " (d) Find the equation of the tangent line(s) to the graph of the func tion " }{TEXT 276 1 "y" }{TEXT -1 16 " which have the " }{TEXT 278 1 " x" }{TEXT -1 49 "-coordinate of the point(s) obtained in Part (c)." }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 281 9 "PROBLEM 8" }{TEXT -1 21 " Graph the function " }{TEXT 280 0 "" }{TEXT 277 1 "y" }{TEXT -1 122 ", the tangent line(s) in Part (d) of PROBLEM 7, and the point (3, - 5 ) on one graph. Use different colors for each graph." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 3 3" 4 } {VIEWOPTS 1 1 0 1 1 1803 }