{VERSION 6 0 "IBM INTEL NT" "6.0" } {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 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 0 1 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 0 } {CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 266 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 0 1 0 0 0 0 0 0 1 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 0 }{CSTYLE "" -1 269 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 271 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 272 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 274 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 275 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 276 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 277 "" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 278 "" 0 1 0 0 0 0 0 2 2 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 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 0 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Normal" -1 256 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "" 3 257 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 257 "" 0 "" {TEXT -1 12 "Assignment 1" }{TEXT 277 0 "" }{TEXT 278 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT 256 10 "Problem 1." }{TEXT -1 50 " \n\n(a) Start a new worksheet. Make a title called " }{TEXT 259 12 "Assignment 1" } {TEXT -1 11 " using the " }{TEXT 260 1 "P" }{TEXT -1 1 " " }{TEXT 257 11 "Title style" }{TEXT -1 44 ". Follow the heading by your name using the " }{TEXT 258 14 "P Author style" }{TEXT -1 34 ". [Look back at th e above section " }{TEXT 261 24 "Basic Worksheet Handling" }{TEXT -1 39 " if you don't recall how to do this.] \n" }}}{EXCHG {PARA 0 "" 0 " " {TEXT 262 10 "Problem 2." }{TEXT -1 1 " " }{TEXT 263 3 " \n\n" } {TEXT -1 25 "(a) Show using Maple that" }{TEXT 264 1 " " }{XPPEDIT 18 0 "sqrt(2)+sqrt(3) = pi;" "6#/,&-%%sqrtG6#\"\"#\"\"\"-F&6#\"\"$F)%#piG " }{TEXT -1 39 " is correct to three decimals digits, " }{TEXT 267 33 "but is not correct to more than 3" }{TEXT -1 6 ". Use " }{TEXT 273 11 "evalf[3](x)" }{TEXT -1 33 " to obtain x to 3 decimal digits." }}{PARA 0 "" 0 "" {TEXT -1 28 "\n(b) Factor the polynomial " } {XPPEDIT 18 0 "x^3-4*x^2-4*x-5;" "6#,**$%\"xG\"\"$\"\"\"*&\"\"%F'*$F% \"\"#F'!\"\"*&F)F'F%F'F,\"\"&F," }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 24 "(c) Assign the equation \+ " }{XPPEDIT 18 0 "x^3-4*x^2-4*x-5 = 0" "6#/,**$%\"xG\"\"$\"\"\"*&\"\"% F(*$F&\"\"#F(!\"\"*&F*F(F&F(F-\"\"&F-\"\"!" }{TEXT -1 17 " to the vari able " }{TEXT 274 3 "Eqn" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 8 "(d) Use " }{TEXT 272 5 "solve" } {TEXT -1 10 " to solve " }{TEXT 275 3 "Eqn" }{TEXT -1 18 " for the var iable " }{TEXT 276 1 "x" }{TEXT -1 2 ". " }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 265 9 "Problem 3" }{TEXT -1 63 ". \n\nUse Maple to find the value of each of the following:\n\n(a) " }{XPPEDIT 18 0 "exp(7);" "6#-%$expG6#\"\"(" }{TEXT -1 102 " [the exact floating \+ point value]\n\n(b) The floating point value of the function in (a) t o 50 digits.\n" }}{PARA 0 "" 0 "" {TEXT -1 9 "(c) Find " }{XPPEDIT 18 0 "sqrt(123456789);" "6#-%%sqrtG6#\"**ycM7" }{TEXT -1 1 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 50 " (d) The floating point value of (c) to 25 digits." }}{PARA 0 "" 0 "" {TEXT -1 1 "\n" } {TEXT -1 1 "P" }{TEXT 266 9 "roblem 4." }{TEXT -1 46 " \n\nLet f be t he function defined by the rule " }}{PARA 0 "" 0 "" {TEXT -1 18 "\n \+ " }{XPPEDIT 18 0 "f(x) = exp(x)+x^2+x+1;" "6#/-%\"fG6#% \"xG,*-%$expG6#F'\"\"\"*$F'\"\"#F,F'F,F,F," }{TEXT -1 3 ". \n" }} {PARA 0 "" 0 "" {TEXT -1 54 "Use each of the three methods described i n Lecture 1 (" }{TEXT 268 14 "arrow, unapply" }{TEXT -1 5 " and " } {TEXT 269 4 "proc" }{TEXT -1 130 ") to define this function in Maple a nd find the value of f(x) to 10 digits for each of the following value s of x: 0, 1, and 2. " }{TEXT 270 36 "After each case execute the c ommand " }{MPLTEXT 1 0 8 "restart;" }{TEXT 271 27 "before doing the ne xt case." }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 1 "\004" } {MPLTEXT 1 0 0 "" }}{EXCHG {PARA 256 "" 0 "" {TEXT -1 7 "- End -" }}} {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{MARK "5 2" 1 }{VIEWOPTS 0 0 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 1 1 2 33 1 1 }