{VERSION 2 3 "APPLE_68K_MAC" "2.3" }
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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 }
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{SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT -1 43 "Estimation and Limits --
 A Descriptive Look" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "
" {TEXT -1 50 "The cell below estimates the length of the curve  " }
{TEXT 256 8 "y = f(x)" }{TEXT -1 7 "  for  " }{TEXT 257 11 "a <= x <= \+
b" }{TEXT -1 71 "  using the method described in the browser window.  \+
It uses the curve " }{TEXT 258 19 "  y =sqrt(1 - x^2) " }{TEXT -1 8 " \+
 for   " }{TEXT 259 11 "0 <= x <= 1" }{TEXT -1 36 "   using   n = 10  \+
 as an example.  " }{TEXT 260 16 "Evaluate it now." }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 152 "Fcn := x -
> sqrt(1 - x^2):\na := 0:\nb := 1:\nn := 10:\nh := (b - a)/n:\nx := i \+
-> a + i * h:\nevalf(Sum(sqrt(h^2 + (Fcn(x(i)) - Fcn(x(i-1)))^2), i = \+
1..n));\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 83 "The next cell illustrates how Maple can be used to answer
 questions about tennis.  " }{TEXT 261 16 "Evaluate it now." }}{PARA 
0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 437 "
YouMake := 0.85:\nOppMake := 0.80:\n\nLose := \n  proc(n) option remem
ber;\n    if n = 1 then 1 - YouMake else Tie(n - 1) * (1 - YouMake) + \+
Lose(n - 1)\n    fi\n  end:\n\nWin :=\n  proc(n) option remember;\n   \+
 if n = 1 then YouMake * (1 - OppMake) \n             else Tie(n - 1) \+
* YouMake * (1 - OppMake) + Win(n - 1) \n    fi\n  end:\n\nTie := n ->
 1 - Win(n) - Lose(n):\n\nLose(1);\nWin(1);\nTie(1);\n\nLose(2);\nWin(
2);\nTie(2);\n\nLose(10);\nWin(10);\nTie(10);" }}}}{MARK "0 0 0" 43 }
{VIEWOPTS 1 1 0 1 1 1803 }