Problem 2. For this problem, the signal r(t) is defined below. 4 r(t) 4+2 (a) Determine...

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Problem 2. For this problem, the signal r(t) is defined below. 4 r(t) 4+2 (a) Determine and write a closed-form expression for the Fourier Transform, X (w), of r(t). (b) Plot X(w) as a function of frequency, showing as much detail as possible. (c) Compute the energy of the signal r(t) defined below. Your final answer should be a mumber. Show all work. E, = *(t)dt Problem 2. For this problem, the signal r(t) is defined below. 4 r(t) 4+2 (a) Determine and write a closed-form expression for the Fourier Transform, X (w), of r(t). (b) Plot X(w) as a function of frequency, showing as much detail as possible. (c) Compute the energy of the signal r(t) defined below. Your final answer should be a mumber. Show all work. E, = *(t)dt