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Compute the Fourier series for the function f in L2(0, 1) given by f(t) = 10 cos(8t) 2 sin(2t). Plot the power spectrum for f.

Compute the Fourier series for the function f in L2(0, 1) given by f(t) = 10 cos(8t) 2 sin(2t). Plot the power spectrum for f. Compute q the root mean square of f, that is, compute fL2(0,1) = R 1 0 |f(t)|2dt. 2

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