A circuit has the following transfer function:

\[
T(s)=\frac{s^{2}}{s^{2}+1500 s+2 \times 10^{6}}
\]

(a) Use MATLAB to find its Bode magnitude response.

(b) Use MATLAB to find its step response.

(c) Determine the filter type, its cutoff frequency, and maximum gain.

(d) Determine the circuit's \(\zeta\) and if the circuit is underdamped, critically damped, or overdamped.

(e) Determine the \(B\) and \(Q\) of the circuit. Is the circuit wideband or narrow band?