Question: 2. Let f be a 27-periodic function with Fourier series given by cos(kx) + sin(kx) (2k)! Simplify your answers to the following as much

2. Let f be a 27-periodic function with Fourier series given by cos(kx) + sin(kx) (2k)! Simplify your answers to the following as much as possible. (a) Find the average value of f (x) over [7r, T]. .1 f (x) cos(3x) dr. (b) Find (4f(x) sin(3x) (c) Find (d) Find F(2T). 5 cos(2x)) d:r.

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