$2.$ Consider the figure below, which is Figure $7\mathrm{.}44$ from your text.

The components have the following values:

VCC $=20$ V$,$ VEE $=10$ V

RB $=18$ k$\backslash$Omega $,$ RE$1=10$ k$\backslash$Omega $,$ RC$1=12$ k$\backslash$Omega

R$1=33$ k$\backslash$Omega $,$ R$2=15$ k$\backslash$Omega $,$ RE$2=5\mathrm{.}6$ k$\backslash$Omega $,$ RSW $=400$ k$\backslash$Omega $,$ RC$2=6\mathrm{.}8$ k$\backslash$Omega

RL $=24$ k$\backslash$Omega

$\backslash$beta $=100$ for both resistorsa. Find the input impedance for the first stage.

b$.$ Find the input impedance for the second stage.

c$.$ Find the voltage gain of the first stage.

d$.$ Find the voltage gain of the second stage.

e$.$ Find the overall voltage gain for the amplifier.

If beta is doubled to $200,$

a$.$ Find the input impedance for the first stage.

b$.$ Find the input impedance for the second stage.

c$.$ Find the overall voltage gain for the amplifier.