With reference to the bandpass filter in Fig. $2,$ use analysis and$/$or SPICE to determine the numerical values of the following quantities:

$($a$)$ the maximum value of the small signal voltage gain Vout$/$Vin;

$20\%$

$($b$)$ the frequency at which the voltage gain achieves its maximum value; and

$20\%$

$($c$)$ the $3$ dB frequencies $($the frequencies at which the voltage gain is $\frac{1}{\sqrt[\phantom{2}]{2}}$ of its maximum value$)$

$20\%$

$R1=20k,R2=R3=R4=R5=1003,C1=C2=1003pF$