Let the function H(t) be given by (0, H (t) = -...

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Let the function H(t) be given by (0, H (t) = -<t<0 0≤t<T H(t + 2) = H (t). 1, (13) We let S(t) be the Fourier series of H(t). (a) Give a sketch of the graph of S(t) in the interval -37 ≤ t ≤ 37. Compute H(0), S(0), H(T), and S(T). (b) Show that the complex Fourier series 8 S(t) = Σ Cneint (14) N=18 of H(t) is given by 1 (15) and n # 0, n even, Cn = (16) n odd. int? You might need the equation ein = = (-1)". Let the function H(t) be given by (0, H (t) = -<t<0 0≤t<T H(t + 2) = H (t). 1, (13) We let S(t) be the Fourier series of H(t). (a) Give a sketch of the graph of S(t) in the interval -37 ≤ t ≤ 37. Compute H(0), S(0), H(T), and S(T). (b) Show that the complex Fourier series 8 S(t) = Σ Cneint (14) N=18 of H(t) is given by 1 (15) and n # 0, n even, Cn = (16) n odd. int? You might need the equation ein = = (-1)".

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