For the filter in Figure P14-4, replace the three resistors with three capacitors, maintaining the same subscripts, and the two capacitors with two resistors, again maintaining the same subscripts. Show that the circuit's transfer function is
\[
T(s)=\frac{-R_{1} R_{2} C_{1} C_{3} s^{2}}{R_{1} R_{2} C_{2} C_{3} s^{2}+\left(C_{1}+C_{2}+C_{3}ight) R_{1} s+1}
\]
(a) Find the filter's type, its cutoff frequency and its \(\zeta\) in terms of the \(R \mathrm{~s}\) and \(C \mathrm{~s}\).
(b) Then using \(C_{1}=C_{2}=C_{3}=0.2 \mu \mathrm{F}, R_{1}=3.33 \mathrm{k} \Omega\) and \(R\) \({ }_{2}=7.5 \mathrm{k} \Omega\), find the filter's type and roll-off, its cutoff frequency and its \(\zeta\). Use MATLAB to plot the filter's Bode diagram. Build and simulate your circuit in Multisim and compare the results with MATLAB's.