1. (a) Expand f(x) cos x, 0 < x < T, in a Fourier sine series....

  

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1. (a) Expand f(x) cos x, 0 < x < T, in a Fourier sine series. (b) How should f(x) be defined at x 0 and x = T so that the series will converge to f(x) for 0 Sx S 7? 2. (a) Expand in a Fourier series f(x) the result of Problem 2.37, explaining the similarities and differences if any. = cos x, 0 < x < T, if the period is 7; and (b) compare with 2.3.7. Expand if 0 <r < 2. r if 2<r < 4, f(x) = in a half-range (a) Sine series. (b) Cosine series. 1. (a) Expand f(x) cos x, 0 < x < T, in a Fourier sine series. (b) How should f(x) be defined at x 0 and x = T so that the series will converge to f(x) for 0 Sx S 7? 2. (a) Expand in a Fourier series f(x) the result of Problem 2.37, explaining the similarities and differences if any. = cos x, 0 < x < T, if the period is 7; and (b) compare with 2.3.7. Expand if 0 <r < 2. r if 2<r < 4, f(x) = in a half-range (a) Sine series. (b) Cosine series.