Consider the circuit in Figure P9.38.

(a) Derive the expression for the output voltage \(v_{O}\) in terms of \(v_{I 1}\) and \(v_{I 2}\).

(b) Determine \(v_{O}\) for \(v_{I 1}=+5 \mathrm{mV}\) and \(v_{I 2}=-25-50 \sin \omega t \mathrm{mV}\).

(c) Determine the peak currents in the \(10 \mathrm{k} \Omega\) and \(20 \mathrm{k} \Omega\) resistors.

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