Problem $5.$ Transistor and diode circuit $(20$ points$).$

In the circuit to the right, the diode $($D$)$ can be treated with a constant voltage drop model with a turn$-$on voltage $0\mathrm{.}7$ V $.$ The transistor $($M$)$ needs to be considered with SCS model, with a threshold voltage $\backslash ($ V$\_\{$T$\}=-1\backslash$mathrm$\{$~V$\},\backslash$mathrm$\{$~K$\}=0\mathrm{.}5\backslash$mathrm$\{$~mA$\}/\backslash$mathrm$\{$V$\}^\{2\},$ V$\_\{\backslash$text $\{$in $\}\}=2\backslash$mathrm$\{$~V$\}\backslash ).$

$(1).(5$ pts$)$ Decide if the transistor M is in ON or OFF state $($if ON$,$ you don't need to differentiate Triode or Saturation at this stage$).$ Show your analysis.

$(2).(15$ pts$)$ Find the current i$.$ Show the details, inc. transistor is in $($e$.$g$.,$ cut off, triode, or saturation$).$