Problem #$6-$Applying Filter circuit B:The input signal Vin$($t$)$ has the following function $($same as HW$08-$T$)$:$!"()=3$ sin$42+389+7$ cos$(5)5$ sin$413+489$We will consider both the $1$ Hz sine term and the $2\mathrm{.}5$ Hz cosine term to be the noise, and the $6\mathrm{.}5$ Hz sine term the signal. Using the circuit design from problem $3$b$,$ determine:a$)$ The equation for the output signal, Vout$($t$)$b$)$ The signal$-$to$-$noise ratio $($S$/$N$)$ of both Vin and Vout in decibels of power $($dB$).$ We will define S$/$N ratio as: