{VERSION 6 1 "Windows XP" "6.1" } {USTYLETAB {PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 12 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "Dash Item" -1 16 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 -1 3 3 1 0 1 0 2 2 -1 3 }{PSTYLE "Heading 4" -1 20 1 {CSTYLE "" -1 -1 "MS Serif" 1 12 0 0 0 0 1 0 0 2 2 2 0 0 0 1 }1 1 0 -1 0 0 1 0 1 0 2 2 -1 1 }{PSTYLE "Heading 3" -1 5 1 {CSTYLE "" -1 -1 " MS Serif" 1 14 0 0 0 0 1 1 0 2 2 2 0 0 0 1 }1 1 0 -1 0 0 1 0 1 0 2 2 -1 1 }{PSTYLE "Error" -1 8 1 {CSTYLE "" -1 -1 "Courier" 1 12 255 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "A uthor" -1 19 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }3 1 0 -1 8 8 1 0 1 0 2 2 -1 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "MS Serif" 1 16 0 0 0 0 0 1 0 2 2 2 0 0 0 1 }1 1 0 -1 8 2 1 0 1 0 2 2 -1 1 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 12 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "MS Serif" 1 18 0 0 0 0 0 1 0 2 2 2 0 0 0 1 }1 1 0 -1 8 4 1 0 1 0 2 2 -1 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Maple Plot" -1 13 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 1 0 1 0 2 2 -1 1 }{PSTYLE "Line Printed Output" -1 6 1 {CSTYLE "" -1 -1 "Courier" 1 12 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "Title" -1 18 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 0 0 1 1 2 2 2 0 0 0 1 }3 1 0 -1 12 12 1 0 1 0 2 2 -1 1 }{PSTYLE "Map le Output" -1 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "List Item" -1 14 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 -1 3 3 1 0 1 0 2 2 -1 5 }{PSTYLE "Bullet Item" -1 15 1 {CSTYLE "" -1 -1 "Ti mes" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 -1 3 3 1 0 1 0 2 2 -1 2 } {CSTYLE "Maple Input" -1 0 "Courier" 1 12 255 0 0 1 0 1 0 2 1 2 0 0 0 1 }{CSTYLE "2D Input" -1 19 "Times" 1 12 255 0 0 1 0 0 0 2 1 2 0 0 0 1 }{CSTYLE "Hyperlink" -1 17 "MS Serif" 1 12 0 128 128 1 0 0 1 2 2 2 0 0 0 1 }{CSTYLE "Text" -1 200 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 1 12 0 0 0 1 0 0 0 2 2 2 0 0 0 1 } {CSTYLE "Dictionary Hyperlink" -1 45 "MS Serif" 1 12 147 0 15 1 0 0 1 2 2 2 0 0 0 1 }{CSTYLE "Maple Input Placeholder" -1 201 "Courier" 1 12 200 0 200 1 0 1 0 2 1 2 0 0 0 1 }{CSTYLE "2D Output" -1 20 "Times" 1 12 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }{CSTYLE "Page Number" -1 33 "Times " 1 10 0 0 0 0 0 0 2 2 2 2 0 0 0 1 }{PSTYLE "_pstyle1" -1 200 1 {CSTYLE "" -1 -1 "Courier" 1 12 255 0 0 1 0 1 0 2 1 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{CSTYLE "_cstyle1" -1 202 "Courier" 1 12 255 0 0 1 0 1 0 2 1 2 0 0 0 1 }{PSTYLE "_pstyle2" -1 201 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{CSTYLE "_cstyle2" -1 203 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "_cstyle3" -1 204 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{PSTYLE "_pstyle3" -1 202 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{CSTYLE "_cstyle4" -1 205 "Times" 0 1 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }} {SECT 0 {EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart;" } {MPLTEXT 1 202 0 "" }}}{EXCHG {PARA 201 "" 0 "" {TEXT 203 30 "Defining functions and ploting" }}{PARA 201 "" 0 "" {TEXT 204 0 "" }}{PARA 201 "" 0 "" {TEXT 204 38 "Define and plot f(x) = 3x^2 + 6sin(x)." }} {PARA 201 "" 0 "" {TEXT 204 0 "" }}}{EXCHG {PARA 201 "" 0 "" {TEXT 203 32 "Stronger command and very useful" }}{PARA 201 "" 0 "" {TEXT 204 0 "" }}{PARA 201 "" 0 "" {TEXT 204 101 "From the algebraic express ion: 3x^4 + 5x define a function using the \"unapply\" command and the n graph" }}{PARA 201 "" 0 "" {TEXT 204 0 "" }}}{EXCHG {PARA 201 "" 0 " " {TEXT 204 0 "" }}{PARA 201 "" 0 "" {TEXT 203 19 "Piecewise functions " }}{PARA 201 "" 0 "" {TEXT 204 0 "" }}{PARA 201 "" 0 "" {TEXT 204 83 "Define a piecewise function f(x) = 4sin(x), if x > 4 and 7-2x, otherw ise. Graph it." }}{PARA 201 "" 0 "" {TEXT 204 0 "" }}}{EXCHG {PARA 201 "" 0 "" {TEXT 204 15 "Several Graphs " }}{PARA 201 "" 0 "" {TEXT 204 0 "" }}{PARA 201 "" 0 "" {TEXT 204 81 "In the same graph include p lot two of your previous functions in different color." }}{PARA 201 "" 0 "" {TEXT 204 0 "" }}}{EXCHG {PARA 201 "" 0 "" {TEXT 203 6 "Limits" }}{PARA 201 "" 0 "" {TEXT 204 0 "" }}{PARA 201 "" 0 "" {TEXT 204 32 "U se the two commands limits for " }}{PARA 201 "" 0 "" {TEXT 204 0 "" }} {PARA 201 "" 0 "" {TEXT 204 33 "f(x)= cos(5x-3) + 4x^2 when x-> 2" }} {PARA 201 "" 0 "" {TEXT 204 0 "" }}}{EXCHG {PARA 201 "" 0 "" {TEXT 204 81 "Two very useful commands : \"evalf\" (numerically evaluate al gebraic expressions) " }{TEXT 204 0 "" }}{PARA 201 "" 0 "" {TEXT 204 62 "and \"%\" (substitute last symbolic expression into new command)" }{TEXT 204 0 "" }}{PARA 201 "" 0 "" {TEXT 204 0 "" }}}{EXCHG {PARA 201 "" 0 "" {TEXT 204 0 "" }}{PARA 201 "" 0 "" {TEXT 203 15 "Different iation" }{TEXT 204 0 "" }}{PARA 201 "" 0 "" {TEXT 204 18 " Use both co mmands" }}{PARA 201 "" 0 "" {TEXT 204 0 "" }}{PARA 201 "" 0 "" {TEXT 204 6 "Diff()" }}{PARA 201 "" 0 "" {TEXT 204 6 "diff()" }}{PARA 201 "" 0 "" {TEXT 204 5 "D()()" }}{PARA 201 "" 0 "" {TEXT 204 38 "Also, Obta in higher order derivatives." }}{PARA 201 "" 0 "" {TEXT 204 22 "for f( x) = exp(sin(x))" }}{PARA 201 "" 0 "" {TEXT 204 0 "" }}}{EXCHG {PARA 201 "" 0 "" {TEXT 203 24 "Integration of functions" }{TEXT 204 0 "" }} {PARA 201 "" 0 "" {TEXT 204 17 " f(x)= x^2sin(x) " }}{PARA 201 "" 0 "" {TEXT 204 12 "Indefinite. " }{TEXT 204 41 "Define functions out of th e int () output" }{TEXT 204 0 "" }}{PARA 201 "" 0 "" {TEXT 204 8 "Defi nite" }}{PARA 201 "" 0 "" {TEXT 204 0 "" }}{PARA 201 "" 0 "" {TEXT 204 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 0 "" }}}{PARA 202 "" 0 "" {TEXT 205 0 "" }}{PARA 202 "" 0 "" {TEXT -1 0 "" }}}{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 15 10 1804 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }