$($a$)$ Draw the small$-$signal equivalent circuit for this transistor amplifier. Be sure to label the input and output voltages as well as the source, gate and drain locations on the schematic. Calculate all parameters$/$component values used in your equivalent circuit that were not given in the problem. $(6$ points$)$

$($b$)$ What is the input resistance of the amplifier? What is the output resistance? $(6$ points$)$

$($c$)$ What is the voltage gain $\backslash ($ A$\_\{$v$\}=\backslash$frac$\{$v$\_\{$o$\}\}\{$v$\_\{$i$\}\}\backslash )?$ How much does your calculation change if you assume $\backslash ($ R$\_\{$G$\}\backslash$rightarrow $\backslash$infty $\backslash )?(6$ points$)$