{VERSION 2 3 "APPLE_68K_MAC" "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 "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 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 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 1 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 256 "" 0 "" {TEXT -1 44 "Estimation and Limits -- Composing Functions" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 91 "The following cell illiustrates how Maple can be used t o compare two different functions. " }{TEXT 256 16 "Evaluate it now. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "f := x -> x^2:\ng := x -> x - 1:\n\nplot(\{f(g(x)), g (f(x))\}, x = -3..3);\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 87 "The fo llowing cell illustrates the way in which Maple can be used to solve e quations. " }{TEXT 257 16 "Evaluate it now," }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "G := m -> m * (1 \+ - 1/(2^m));\n\nfsolve(G(m) = 1, m);" }}}}{MARK "3 0 0" 30 }{VIEWOPTS 1 1 0 1 1 1803 }