Question 3 (a) The Fourier transform of the function: f (t) 2cost, |t| 1 = cost, 1<|t| ≤2 is (10 marks) (0, It > 2 Please choose one: a) 2 sin 2(w-1)+sin(w-1) w-1 - 1 sin 2(w-1)+sin(w-1) b)Ⓡ + w-1 sin 2(w+1)+sin(w+1) w+1 sin(w+1)] sin 2(w+1)+sin(w+1)] w+1 sin 2(w-1)+sin(w-1) sin 2(w+1)+sin(w+1) c)O + w-1 w+1 d) None of the above Please scroll to the bottom of page for END of question (b) The inverse Fourier transform of the function F(w) = Please choose one: int - a) 3e [u(t + 1)u(t − 1)] 3 b) eimtu(t + 1)u(t − 1)] 2 c) -3e int[u(t + 1)u(t 1)] d) None of the above 3 cos(w+ is (10 marks) w+π