{VERSION 4 0 "IBM INTEL NT" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 257 "" 1 12 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "" 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 }{CSTYLE "" -1 262 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 }{CSTYLE "" -1 266 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 } {CSTYLE "" -1 267 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 }{CSTYLE "" -1 268 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 271 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 272 "" 0 1 0 0 0 0 1 0 0 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 0 } {CSTYLE "" -1 274 "" 0 1 0 0 0 0 1 0 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 0 }{CSTYLE "" -1 276 "" 0 1 0 0 0 0 1 0 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 0 }{CSTYLE "" -1 278 "" 0 1 0 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 0 }{CSTYLE "" -1 280 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 281 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 282 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1 " -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 259 10 "MATH-1850 " }{TEXT -1 3 " " }{TEXT 260 18 "COMPUTER PROBLEM 5" }{TEXT -1 53 " DUE: Tuesday , October 10, 2000, in your lab class" }}{PARA 0 "" 0 "" {TEXT -1 17 " \nTeam members: " }{TEXT 268 54 "(All lines for answers below will e xtend 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 265 9 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 16 " (2) " }{TEXT 262 0 "" }{TEXT -1 0 "" }{TEXT 266 9 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 16 " (3) " }{TEXT 263 0 "" }{TEXT -1 0 "" }{TEXT 267 9 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 25 "Score: / 6\n" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT 258 13 "INSTRUCTIONS " }{TEXT 257 20 "(Click box 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 differ ent teams, but each team must write their OWN report.\nREQUIREMENTS OF REPORT:\n- Mathematical contents (correctness and completeness) count s most. Solve the problems and show all essential calculations (comman ds and output) and plots. Please do not submit work that is not essent ial (e.g. checking out how the function fplot in Problem 1 works - thi s may be essential to your understanding, but it s not essential for t he reader).\n- Explain the steps you carry out. Explain the approaches /techniques that you use.\n- Add explanations and answer questions whe re asked to do so. By all means, include additional explanations/obser vations/conclusions that come to your mind! (This could translate to e xtra credit.)\nHOW TO SUBMIT THE REPORT\nEach team submits ONE printed 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 can \+ print from inside your Maple worksheet (choose File/Print or click on \+ the printer button). Set the ZOOM FACTOR to 100% (smallest magnifying \+ glass) before printing.\n" }{TEXT 256 62 "Please remove these instruct ions before submitting the report." }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 20 "Graph the function " }{TEXT 271 1 "f" }{TEXT -1 1 "(" }{TEXT 272 1 "x" } {TEXT -1 4 ") = " }{XPPEDIT 18 0 "(4-3*x)/(x+2);" "6#*&,&\"\"%\"\"\"*& \"\"$F&%\"xGF&!\"\"F&,&F)F&\"\"#F&F*" }{TEXT -1 77 " and the tangent \+ line and the tangent point at the point on the graph where " }{TEXT 273 1 "x" }{TEXT -1 66 " = - 3 on one graph. Use three different colo rs for the graph of " }{TEXT 282 1 "f" }{TEXT -1 68 ", the graph of th e tangent line, and the graph of the tangent point." }{TEXT -1 57 " I n order to get to this graph, please do the following:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 25 "(a) Defi ne the function " }{TEXT 274 1 "f" }{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 275 1 "f" }{TEXT -1 20 " by restricting the " }{TEXT 276 1 "x" }{TEXT -1 8 " and/or " }{TEXT 277 1 "y" }{TEXT -1 24 " values. Also, \+ use the " }{TEXT 278 12 "discont=true" }{TEXT -1 80 " command so that \+ discontinuities are not connected. Store this graph in memory." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 59 "(c) Find the slope of th e tangent line at the point where " }{TEXT 280 1 "x" }{TEXT -1 33 " = \+ - 3 by evaluating one limit. " }{TEXT 279 50 "Don't evaluate the limi t by doing it step by step." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 62 "(d) Find the equation of the tangent line at the point where \+ " }{TEXT 281 1 "x" }{TEXT -1 7 " = - 3." }}}{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 -1 91 "(e) Graph the equation o f the tangent line in Part (d) above. Store this graph in memory." }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 58 "(f) Graph the tangent po int. Store this point in memory." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 101 "(g) Display the function, the tangent line, and \+ the tangent point which were stored in memory above." }}}{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 1 1 1 1 } {PAGENUMBERS 0 1 2 33 1 1 }