$10\mathrm{.}20$ Design a CE amplifier for a low$-$frequency response of $50$ Hz and an overall stage voltage gain of $-7.$ Assume $V_{BE}=0\mathrm{.}7V,=200,V_T=26mV,C_{ob}=2pF$ and $f_T=2{10}^8.$ The specifications for the circuit are $R_{in}=R_{\text{s}\text{o}\text{u}\text{r}\text{c}\text{e}}=4k,R_{\text{l}\text{o}\text{a}\text{d}}=5k$ and $V_{CC}=15V.$ Design the amplifier such that the time constants are identical. Determine all resistor and capacitor values, and high$-$frequency cutoff.