HW5: Problem 1 Previous Problem Problem List Next Problem (1 point) Suppose that f(x) is periodic with period [-7, It) and has the following complex Fourier coefficients: . . . co = 1, c1 = 2 + i, c2 = 1 - 4i, c3 = 4 + i, ... (A) Compute the following complex Fourier coefficients. C-3 = -2-1 C-2 = 1-4i C-1 = 4-1 (B) Compute the real Fourier coefficients. (Remember that el kx = cos(k x) + i sin(k x).) do = , a = , a2 = , a3 = . . . b1 = by = b3 = . . . (C) Compute the complex Fourier coefficients of the following. (i) The derivative f' (x). CO = 0 C = -2+i C3 (ii) The shifted function f (x + Co = 6 = C = (iii) The function f(3x). CO = -3 C1 = 0 9 = 0