A direct$-$coupled amplifier has a low$-$frequency gain of

$40$dB$,$ poles at $1$MHz and $10$MHz$,$ a zero at $100$MHz$,$ and another zero at f$=$$.$

a$.(10$ pts$)$ Express the amplifier gain function in the form of equations $9\mathrm{.}61$ and $9\mathrm{.}62$

from $6$th edition or equations $10\mathrm{.}70$ and $10\mathrm{.}71$ in the $7$th or equation $10\mathrm{.}36$ and $10\mathrm{.}37$

in the $8$th edition.

b$.(10$ pts$)$ Sketch a Bode Plot for the gain magnitude.

c$.(5$ pts$)$ What do you estimate the $3-$dB frequency fH to be$?$