$<25$p$>$ You have an internal compensated op$-$amp with open$-$loop gain $120$ dB$,$ gain$-$bandwidth product $1\mathrm{.}5$ MHz$,$ and slew rate $8$V$/$s$.$ You have a power supply that gives you $12$ volts. a$.$ Design a voltage amplifier that has input impedance $12$ k$$ and voltage gain $15$ b$.$ Determine the small signal bandwidth of the amplifier and the input voltage required to have $10$ V output within the amplifier bandwidth limitation c$.$ Determine the large signal bandwidth of the amplifier to achieve $10$ V at the output. How much would be the input voltage to achieve this output at the maximum frequency? d$.$ Modify your amplifier to have an integrator that works beyond $200$ Hz e$.$ Estimate the output of the new circuit for $=0\mathrm{.}1$ sin $2+0\mathrm{.}2$ sin $400.$