Let x(t) be any signal with Fourier transform X(jω). The frequency-shift property of the...

Let x(t) be any signal with Fourier transform X(jω). The frequency-shift property of the Fourier transform may be stated as

(a) Prove the frequency-shift property by applying the frequency shift to the analysis equation

(b) Prove the frequency-shift property by utilizing the Fourier transform of in conjunction with the multiplication property of the Fourier transform.