D $2\mathrm{.}92$ Figure P$2\mathrm{.}92$ shows a first$-$order high$-$pass active filter that has a single time$-$constant response. Derive the transfer function and show that the high$-$frequency gain is $(-\frac{R_2}{R_1})$ and the $3-dB$ frequency ${}_0=\frac{1}{C}{R}_1.$ Design the circuit to obtain a high$-$frequency input resistance of $2k,$ a high$-$frequency gain of $40$ dB $,$ and a $3-$dB frequency of $2$ MHz $.$ At what frequency does the magnitude of the transfer function equal unity?