Answer: In each of 9 through 14, find the first five coef- ficients in the

Chapter 15, Problem 15.30

(choose chapter or problem)

In each of 9 through 14, find the first five coef- ficients in the Fourier-Legendre expansion of f (x) on [1, 1]. Graph the function and the partial sum of these first five terms on the same set of axes, for 3 x 3. The expansion only represents the function on (1, 1), but it is instructive to see how the partial sums and the function are unrelated outside this interval.f (x) = cos(x) sin(x)

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