(a) Design a single-pole high-pass filter with a gain of 8 in the passband and a \(3 \mathrm{~dB}\) frequency of \(30 \mathrm{kHz}\). The maximum resistance is to be \(210 \mathrm{k} \Omega\).

(b) Repeat part (a) for a gain of -20 in the passband and a \(3 \mathrm{~dB}\) frequency of \(20 \mathrm{kHz}\). The minimum input resistance is to be \(15 \mathrm{k} \Omega\).