{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 0 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 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 0 1 0 0 0 0 1 0 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 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 271 "" 0 1 0 0 0 0 1 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 }{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 0 1 1 0 0 0 0 0 0 }{CSTYLE "" -1 279 "" 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 }{CSTYLE "" -1 280 "" 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 }{CSTYLE "" -1 281 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 282 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 283 "" 0 1 0 0 0 0 0 1 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 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 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 1 " " }{TEXT 260 18 "COMPUTER PROBLEM 1" }{TEXT -1 53 " DUE: Tuesday, S eptember 7, 2000, in your lab class" }}{PARA 0 "" 0 "" {TEXT -1 17 "\n Team members: " }{TEXT 266 54 "(All lines for answers below will ext end 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 263 9 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 16 " (2) " }{TEXT 264 9 " \+ " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 16 " \+ (3) " }{TEXT 262 0 "" }{TEXT -1 0 "" }{TEXT 265 9 " " } }{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 25 "Score: \+ / 6\n" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT 258 13 "INSTRUCTI ONS " }{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 different teams, but each team must write thei r OWN report.\nREQUIREMENTS OF REPORT:\n- Mathematical contents (corre ctness and completeness) counts most. Solve the problems and show all \+ essential calculations (commands and output) and plots. Please do not \+ submit work that is not essential (e.g. checking out how the function \+ fplot in Problem 1 works - this may be essential to your understanding , but it s not essential for the reader).\n- Explain the steps you car ry out. Explain the approaches/techniques that you use.\n- Add explana tions and answer questions where asked to do so. By all means, include additional explanations/observations/conclusions that come to your mi nd! (This could translate to extra credit.)\nHOW TO SUBMIT THE REPORT \nEach team submits ONE printed copy (stapled) by the due date. (Pleas e save the electronic version, as you will be asked to submit that, to o, at a future time.)\nYou can print from inside your Maple worksheet \+ (choose File/Print or click on the printer button). Set the ZOOM FACTO R to 100% (smallest magnifying glass) before printing.\n" }{TEXT 256 62 "Please remove these instructions before submitting the report." }} }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 21 "Solve the inequality " }{XPPEDIT 18 0 "(3*x-2)/ (18+3*x-x^2) <= 0;" "6#1*&,&*&\"\"$\"\"\"%\"xGF(F(\"\"#!\"\"F(,(\"#=F( *&\"\"$F(F)F(F(*$F)\"\"#F+F+\"\"!" }{TEXT -1 13 " graphically." }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 38 "(a ) Use Maple to graph the function " }{TEXT 267 1 "y" }{TEXT -1 3 " = " }{XPPEDIT 18 0 "(3*x-2)/(18+3*x-x^2)" "6#*&,&*&\"\"$\"\"\"%\"xGF'F' \"\"#!\"\"F',(\"#=F'*&\"\"$F'F(F'F'*$F(\"\"#F*F*" }{TEXT -1 3 " ." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 62 "(b) Find a better graph for this function by restricting the " }{TEXT 268 1 "x" }{TEXT -1 8 " and/or " }{TEXT 269 1 "y" } {TEXT -1 8 " values." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 27 "(c) Use Maple to find the " }{TEXT 270 1 "x" }{TEXT -1 19 "-coordinate of the " }{TEXT 271 1 "x" }{TEXT -1 32 "-intercept(s) for the function " }{TEXT 272 1 "y" }{TEXT -1 3 " = " }{XPPEDIT 18 0 "(3*x-2)/(18+3*x-x^2)" "6#*&,&*&\"\"$\"\"\"%\"xGF 'F'\"\"#!\"\"F',(\"#=F'*&\"\"$F'F(F'F'*$F(\"\"#F*F*" }{TEXT -1 3 " . " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 55 "(d) If your graph in Part (b) above does not show the " }{TEXT 273 1 "x" }{TEXT -1 70 "-intercept(s), then find a graph of the function, which will show the " }{TEXT 276 1 "x" }{TEXT -1 33 "-intercept(s) by restricting the " }{TEXT 274 1 "x" }{TEXT -1 8 " and /or " }{TEXT 275 1 "y" }{TEXT -1 8 " values." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 60 "(e) Display a \+ graph which shows the graph of the function " }{TEXT 256 1 "y" } {TEXT -1 4 " = " }{XPPEDIT 18 0 "(3*x-2)/(18+3*x-x^2)" "6#*&,&*&\"\"$ \"\"\"%\"xGF'F'\"\"#!\"\"F',(\"#=F'*&\"\"$F'F(F'F'*$F(\"\"#F*F*" } {TEXT -1 9 " and the" }{TEXT 277 2 " x" }{TEXT -1 56 "-intercept(s) o f the function as point(s) in box symbol." }}{PARA 0 "" 0 "" {TEXT -1 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 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 45 "(f) Use Maple to fi nd where the expression " }{XPPEDIT 18 0 "(3*x-2)/(18+3*x-x^2)" "6#*& ,&*&\"\"$\"\"\"%\"xGF'F'\"\"#!\"\"F',(\"#=F'*&\"\"$F'F(F'F'*$F(\"\"#F* F*" }{TEXT -1 15 " is undefined." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 4 " " }{TEXT 281 20 "Answe r for Part (f) " }{TEXT 279 7 " " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 81 "(g) From your graph in P art (e) above, determine the solution to the inequality " }{XPPEDIT 18 0 "(3*x-2)/(18+3*x-x^2) <= 0" "6#1*&,&*&\"\"$\"\"\"%\"xGF(F(\"\"#! \"\"F(,(\"#=F(*&\"\"$F(F)F(F(*$F)\"\"#F+F+\"\"!" }{TEXT -1 2 " ." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 4 " " }{TEXT 282 20 "Answer for Part (g) " }{TEXT 278 7 " " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 39 "(h) Use Maple to solve the inequality " }{XPPEDIT 18 0 "(3*x-2)/(18+3*x-x^2) <= 0" "6#1*&,&*&\"\"$\"\"\"%\"xGF (F(\"\"#!\"\"F(,(\"#=F(*&\"\"$F(F)F(F(*$F)\"\"#F+F+\"\"!" }{TEXT -1 2 " ." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 4 " " }{TEXT 283 20 "Answer for Part (h) " }{TEXT 280 6 " " }}}}{MARK "0 3 3" 4 }{VIEWOPTS 1 1 0 1 1 1803 }