If, in the circuit shown in Figure P12.65:
$$
\begin{aligned}
& v_{S 1}=2.8+0.01 \cos (\omega t) \mathrm{V} \\
& v_{S 2}=3.5-0.007 \cos (\omega t) \mathrm{V} \\
& A_{v 1}=-13 \quad A_{v 2}=10 \quad \omega=4 \mathrm{krad} / \mathrm{s}
\end{aligned}
$$
determine the:
a. Common- and differential-mode input signals.
b. Common- and differential-mode gains.
c. Common- and differential-mode components of the output voltage.
d. Total output voltage.
e. Common-mode rejection ratio.