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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) = w₁(1) + w₂(1) + W3(1)

where: w₁() has period Toi = 1.25 sec 1¹₂(t) has period To2 = 1.35 sec w3(1) 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]. + x(t) www 202 www 252 0.1 F y(t)

Fig: 1