NOTE: 1) It is imperative to use the Fourier transform equation when solving question 2 (b)....

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NOTE: 1) It is imperative to use the Fourier transform equation when solving question 2 (b). 2) Convolution integral should be used in the solution of question 2 (a). 3) Tables in which Fourier transform pairs are given can be used to solve the problem of 2 (c). Question: 2. The impulse response of a continuous-time linear time-invariant (LTİ) system is h(t)= etu(t). If the sign (t) = (3 – e2t) u (t) is applied to the input of this LTİ system, a) Calculate the output signal y (t) with the convolution integral. b) Find the frequency response h (jo) using the Fourier transform equation. c) Calculate the exit sign y (t) by finding x (ja), H (ja) and Y (ja) respectively. NOTE: 1) It is imperative to use the Fourier transform equation when solving question 2 (b). 2) Convolution integral should be used in the solution of question 2 (a). 3) Tables in which Fourier transform pairs are given can be used to solve the problem of 2 (c). Question: 2. The impulse response of a continuous-time linear time-invariant (LTİ) system is h(t)= etu(t). If the sign (t) = (3 – e2t) u (t) is applied to the input of this LTİ system, a) Calculate the output signal y (t) with the convolution integral. b) Find the frequency response h (jo) using the Fourier transform equation. c) Calculate the exit sign y (t) by finding x (ja), H (ja) and Y (ja) respectively.