$30$pts$)$ a$)$ For the circuit below calculate IB$,$ IC$,$ VB and VCE if $=100.$ Given: RB$=100$k$,$ RE$=3\mathrm{.}3$k$,$ Rsig$=39$k and RL$=2\mathrm{.}2$k$.$ Assume the power supplies $5$V$.$ b$)$ Draw ac equivalent circuit with hybrid$-$ model $($use VA$=100$V$)$ and calculate the voltage gain vo$/$vi and vo$/$vsig$.$ Derive an equation for the input resistance Rin. Next write expression for Rout by utilizing the resistance$-$reflection formula.