A single stage MOSFET amplifier is given below.

The NMOS has K$=(1)/(2)\backslash$mu $\_($n$)$C$\_($Ox$)(($W$)/($L$))=1$m$($A$)/($V$^(2)),$V$\_($TN$)=1$V and V$\_($A$)=100$V$.$ Also C$\_($gs$)=50$fF and C$\_($gd$)=10$fF where if $=10^(-15).$

$($a$)$ Find the DC current I$\_($D$)$ and the DC drain voltage V$\_($D$)$

$($b$)$ Compute the small signal parameters

$($c$)$ Give the mid band voltage gain

$($d$)$ Give the voltage gain low frequency cutoff and high frequency cutoff frequencies