2. The following functions are assumed to be 27-periodic. Find the Fourier series expansion for each...

 

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2. The following functions are assumed to be 27-periodic. Find the Fourier series expansion for each function and then plot graphs of the first three partial sums. (a) f(t) = t for 0 < t < 2. (b) f(t) = t² +t for − < t < π. - (c) f(t) = 1- for 0 ≤ t ≤ 2 T (d) f(t) = t for - < t < 2. The following functions are assumed to be 27-periodic. Find the Fourier series expansion for each function and then plot graphs of the first three partial sums. (a) f(t) = t for 0 < t < 2. (b) f(t) = t² +t for − < t < π. - (c) f(t) = 1- for 0 ≤ t ≤ 2 T (d) f(t) = t for - < t <