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Unformatted text preview: 1 Problem 3: Use MAPLE to estimate the maximum value of f ( x )-T 5 ( x ) for 0 x 1 (one way to do this is to plot the function f ( x )-T 5 ( x ) in a suitable viewing rectangle). Solution: The MAPLE command plot(f-T,x=0. .1); produces the following output. From the graph is appears that for 0 x 1, the function f ( x )-T 5 ( x ) is positive and increasing with maximum value f (1)-T 5 (1) = . 0095. We also remark that we can use MAPLE to nd the exact value of f (1)-T 5 (1), along with an accurate approximate value, using the commands subs(x=1,f-T); evalf(%); which produce the output 3-441 256 . 009394558 2...
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