Find the Fourier Transform X(w) of each signal x(t) given below. (a) x(t) = 1 + cos(3t) (b) x(t) = 8(t) — 58(t − 2) (c) x(t) = u(t+1) (d) x(t) = sinc²(t) (e) x(t) = cos(2t) + jsin(2t)

Compute the Fourier transform A(w) of the following function: 12 /2a² cos wot = -e S(t) a You can assume that a > 0 and wo > 0. Hint: You can write the cosine as a sum of exponentials. Is there any value of w for which the Fourier transform is equal to zero?

Solve (i) (ii) (iii) (iv) and (v)