For the network shown,

$($a$)$ Determine $r_0,$ in $.$

$($b$)$ Determine $A_{v_{\text{m}\text{i}\text{d}}}.$

$($c$)$ Determine $Z_1,$ in $k.$

$($d$)$ Determine $f_{L_S},f_{L_C},$ and $f_{L_E},$ in $Hz.$

$($e$)$ Determine the low cutoff frequency of the network, in Hz$.$

$($f$)$ Sketch the asymptotes of the Bode plot defined by the cutoff frequencies found in part $($d$).$

$($g$)$ Sketch the low$-$frequency response for the amplifier using the results of part $($f$).$