A circuit has the following transfer function:

\[
T(s)=\frac{5000 s}{s^{2}+100 s+10^{6}}
\]

Use MATLAB to plot the Bode diagram of the transfer function. From the plot, determine the following:

(a) The nature of the filter, that is, bandpass or bandstop.

(b) The center frequency in radians and the maximum gain.

(c) The cutoff frequencies, the bandwidth, and the \(Q\) of the transfer function.

(d) The phase angles at \(\omega=0, \omega ightarrow \infty, \omega=\omega_{\mathrm{C} 1}, \omega=\omega_{\mathrm{C} 2}\), and \(\omega=\omega_{0}\).