Please include detailed work and steps. Design a circuit as shown below.

Find the R$\_(1),$R$\_(2),$R$\_(3),$R$\_(4),$R$\_(5).$

Given: V$1=12$V$,$V$2=10$V$,$V$3=15$V$,$V$4=-5$V$,$V$\_($G$1)=8$V$,$I$\_($D$1)=1$mA$,$I$\_($D$2)=3\mathrm{.}5$mA$,$R$\_(6)=500\backslash$Omega $,$ V$\_($tn $)=2\mathrm{.}831$V$,$ and Kn$=2966\mathrm{.}3$m$($A$)/($V$^(2)).$Q$1$ and Q$2$ are identical.

$(20$ points$)$ Show the calculation in detail. $($Note: Neglect the channel$-$length modulation effect$).$ Show V$\_($D$1),$V$\_($D$2),$V$\_($G$2),$V$\_($S$1),$V$\_($S$2).$ Identify which region Q$1$ and Q$2$ are operating in$.$

$(20$ points$)$ Demonstration: Build a circuit on PSpice and complete the simulation.

$($Note: Each branch may have slightly different voltages and currents.$)$

$($Tip: Use IRF $150.$ Model file is included$)$

When submitting, you need to include detailed calculations and PSpice simulation results.