Prob. "3. (5 points) (a) Determine whether the following signal, w(t), is periodic, and compute the period if the signal is periodic [2.5 pts]: w(t) = wi(t) + w₂(1) + w3(1)

where: w₁(t) has period Toi = 1.25 sec w₂(t) has period To2 = 1.35 sec w3(t) has period To3 = 2.75 sec (b) In the electric circuit below, the voltages x(t) and y(t) are the input and output, respectively. Write the input-output equation for the circuit [2.5 pts]. + z(t) www 292 .0.1 F 252 4 Ω + y(t)