{VERSION 2 3 "IBM INTEL NT" "2.3" } {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 1 116 111 127 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 112 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 "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 150 0 172 0 0 0 0 0 0 0 0 0 0 }1 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Title" 0 18 1 {CSTYLE "" -1 -1 "" 1 18 104 168 230 0 0 1 1 0 0 0 0 0 0 }3 0 0 -1 12 12 0 0 0 0 0 0 19 0 }{PSTYLE "Author" 0 19 1 {CSTYLE "" -1 -1 "" 0 1 197 191 130 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 8 8 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 18 "" 0 "top_s04_2" {TEXT -1 25 "4.2 Linear Appr oximation" }}{PARA 19 "" 0 "" {TEXT -1 25 "Art Belmonte, Summer 1996" }}{PARA 0 "" 0 "" {TEXT -1 119 "These are the shaded gray examples whi ch appear in Section 4.2. In-line plots have been removed to conserve \+ disk space." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "restart; wit h(plots):\na:=3/2; b:=3/2; m:=-1;\ny:=m*(x - a) + b;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG#\"\"$\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%\"bG#\"\"$\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"mG!\"\"" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG,&%\"xG!\"\"\"\"$\"\"\"" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "L:=unapply(y, x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"LG:6#%\"xG6\"6$%)operatorG%&arrowGF(,&9$ !\"\"\"\"$\"\"\"F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 139 "un assign('y');\np1:=plot(L(x), x=1..2):\neq:=3*x*y = x^3 + y^3;\np2:=imp licitplot(eq, x=1..2, y=1..2, scaling=constrained):\ndisplay([p1, p2]) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#eqG/,$*&%\"xG\"\"\"%\"yGF)\"\" $,&*$F(F+F)*$F*F+F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "subs (x=1.51, eq); fsolve(\", y=1.4..1.6);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,$%\"yG$\"$`%!\"#,&$\"(^HW$!\"'\"\"\"*$F%\"\"$F-" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+KgV*[\"!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "L(1.51);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"$\\\"! \"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 2 0" 62 }{VIEWOPTS 1 1 0 1 1 1803 }