In each of 27 through 30, a function is given on an
Chapter 10, Problem 28(choose chapter or problem)
In each of 27 through 30, a function is given on an interval 0 < x < L.(a) Sketch the graphs of the even extension g(x) and the odd extension h(x) of the givenfunction of period 2L over three periods.(b) Find the Fourier cosine and sine series for the given function.(c) Plot a few partial sums of each series.(d) For each series, investigate the dependence on n of the maximum error on [0, L].f(x) =x, 0 < x < 1,0, 1 < x < 2
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