For the circuit given the op$-$amp is internally compensated with the following characteristics:

Rated output voltage $=12$ volts; Bias current $=20$ nA; Input resistance $=1$ M$$ Open loop gain $=100$ dB; Differential input offset voltage $=2$ mV;

CMRR $=90$ dB; Gain bandwidth product $=1$ MHz; Slew rate $=0\mathrm{.}8$ V$/$s

a$.$ Calculate the output offset voltage.

b$.$ Determine the cut$-$off frequencies for small signal signals.

c$.$ For V $=1+10$mVSin$(2$t$)+10$mVSin$(200$t$)+10$mVSin$(10,000$t$)$ find the output voltage. i