1) Find the Fourier transform of the following signals. 2 x(t) M 2 2) Find the Fourier transforms of the signal x(t) = eu(t) + 2eu(t-2). 3) Find the inverse Fourier transform of the following signals. a) b) 1 X(w) -w²+3jw+2 1 X(w)= (jw+1)(jw + 2)² 4) Find the inverse Fourier transform of the signal. X(w)| 1 -5 -3 0 3 5 5) Find the inverse Fourier transform of X(w)= X(w) = jw+3 -w² + j3w+2 jw+3 (jw + 1)(jw + 2)²