{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 1 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 }{CSTYLE "" 18 284 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 285 "" 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 17 " SOLUTION " }}{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 " INSTRUCTIONS " }{TEXT 257 20 "(Click box in front)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 1192 "It is strongly s uggested that this project be worked in teams (of up to 3 persons). A pproaches may be discussed among different teams, but each team must w rite their OWN report.\nREQUIREMENTS OF REPORT:\n- Mathematical conten ts (correctness and completeness) counts most. Solve the problems and \+ show all essential calculations (commands and output) and plots. Pleas e 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 unde rstanding, but it s not essential for the reader).\n- Explain the step s you carry out. Explain the approaches/techniques that you use.\n- Ad d explanations and answer questions where asked to do so. By all means , include additional explanations/observations/conclusions that come t o your mind! (This could translate to extra credit.)\nHOW TO SUBMIT TH E 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 wo rksheet (choose File/Print or click on the printer button). Set the ZO OM FACTOR to 100% (smallest magnifying glass) before printing.\n" } {TEXT 256 62 "Please remove these instructions before submitting the r eport." }}}}{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(*$F)\"\"#F+F+\"\"!" }{TEXT -1 13 " graphi cally." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 38 "(a) Use Maple to graph the function " }{TEXT 267 1 "y" }{TEXT -1 3 " = " }{XPPEDIT 18 0 "(3*x-2)/(18+3*x-x^2)" "6#*&,&*&\"\"$ \"\"\"%\"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 30 "plot((3*x-2)/(18+3*x-x^2), x);" }}}{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 73 "plot((3*x-2)/(18+3*x-x^2), x=-8..11, y=-35..35, discont=true, co lor=red);" }}}{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'*$F(\"\"#F*F*" }{TEXT -1 3 " ." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "solve((3*x- 2)/(18+3*x-x^2)=0);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 55 "(d) If your graph in Part (b) above does not s how the " }{TEXT 273 1 "x" }{TEXT -1 70 "-intercept(s), then find a gr aph of the function, which will show the " }{TEXT 276 1 "x" }{TEXT -1 33 "-intercept(s) by restricting the " }{TEXT 274 1 "x" }{TEXT -1 8 " \+ and/or " }{TEXT 275 1 "y" }{TEXT -1 8 " values." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 72 "plot((3*x-2 )/(18+3*x-x^2), x=-11..14, y=-5..5, discont=true, color=red);" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 60 "(e ) Display a graph which shows the graph of the function " }{TEXT 256 1 "y" }{TEXT -1 4 " = " }{XPPEDIT 18 0 "(3*x-2)/(18+3*x-x^2)" "6# *&,&*&\"\"$\"\"\"%\"xGF'F'\"\"#!\"\"F',(\"#=F'*&\"\"$F'F(F'F'*$F(\"\"# F*F*" }{TEXT -1 9 " and the" }{TEXT 277 2 " x" }{TEXT -1 56 "-interce pt(s) of the function as point(s) in box symbol." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 79 "plot((3*x-2 )/(18+3*x-x^2), x=-11..14, y=-5..5, discont=true,color=red); p := %:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "plot([[2/3,0]], style=poi nt, symbol=box, color=blue); pt := %:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "display(p, pt);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 45 "(f) Use Maple to find where the expressi on " }{XPPEDIT 18 0 "(3*x-2)/(18+3*x-x^2)" "6#*&,&*&\"\"$\"\"\"%\"xGF 'F'\"\"#!\"\"F',(\"#=F'*&\"\"$F'F(F'F'*$F(\"\"#F*F*" }{TEXT -1 15 " i s undefined." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "solve(18 + 3*x - x^2 = 0);" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 31 "Or, you could do t he following:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "solve(denom((3*x-2)/(18+3*x-x^2))=0);" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 4 " \+ " }{TEXT 282 21 "Answer for Part (f): " }{TEXT 279 12 " - 3, 6 " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 81 "(g) From your graph in Part (e) above, determine the solution to the inequality " }{XPPEDIT 18 0 "(3*x-2)/(18+3*x-x^2) <= 0" "6#1*&,&*&\" \"$\"\"\"%\"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 283 21 "Answer for Part (g): " }{TEXT 278 19 " (- 3, 2/3] U (6, " } {XPPEDIT 284 0 "infinity;" "6#%)infinityG" }{TEXT 280 4 ") " }}} {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 33 "solve((3*x-2)/(18 +3*x-x^2) <= 0);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 4 " " }{TEXT 285 21 "Answer for Part (h): " }{TEXT 281 35 " Same as the answer for Part (g) " }}}}{MARK "2 0 0" 8 } {VIEWOPTS 1 1 0 1 1 1803 }