1) By making modifications to the myctft function listed in Section 5.10, sketch the magnitude and phase spectra of the following signals: (i) x(t) = sin(5nt) for -2 t2 with sampling rate w, 2007 samples/s; (ii) x(t) = sin(8nt) + sin(20nt) for -1.25 t1.25 with sampling rate w, 1000 samples/s. 2) Suppose the CT signal x (t)= e'u(t) is applied as input to a LTIC system, modeled by the impulse response h(t)=e2u(t). Compute the output response y(t) by computing the CTFT for x(t) and h(t), multiplying the CTFTs and then taking the inverse CTFT of the result. 3) Sketch the magnitude and phase Bode plots for the LTIC systems: dy dy dy (a) +6- +11. dr3 dt +6y(t) = x(t) dt (b) x(t)=e-2u(t) and y(t) = te-2 u(t);