Question: Let f(t) = 2cos 3t + sin 2t - 0.02 sin(50t). (a) Plot the figure of f. (Show the code) (b) How you can

Let f(t) = 2cos 3t + sin 2t - 0.02 sin(50t). (a) 

Let f(t) = 2cos 3t + sin 2t - 0.02 sin(50t). (a) Plot the figure of f. (Show the code) (b) How you can smooth the function f? (How you can remove the noise?) Plot the smooth function given in (b). (d) What is the Fourier series of f? (e) What is the Fourier Transform of f?

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