Use the analysis methods discussed in Example 8-30 to find the input-output relationship \(\mathbf{V}_{\mathrm{O}} / \mathbf{V}_{\mathrm{S}}\) for the active bandpass filter of Figure P8-72. Treat each stage separately and then multiply the input-output relationships from each stage to obtain the overall input-output relationship. Select \(R\) and \(C\) values so that the low cutoff frequency is \(2 \mathrm{krad} / \mathrm{s}\), the upper cutoff frequency is \(200 \mathrm{krad} / \mathrm{s}\), and the magnitude of the passband gain is \(20 \mathrm{~dB}\).