Consider the following transfer function:

\[
T_{\mathrm{V}}(s)=\frac{K}{s^{2}+B s+10^{10}}
\]

(a) Select \(K\) so that the passband gain is \(+60 \mathrm{~dB}\).

(b) Using MATLAB plot three different Bode magnitude plots on the same graph with \(\mathrm{B}=2000,20,000\), and 200,000. Bodemag (TT1, TT2, TT3, ww); where each different transfer function is separately entered as \(\mathrm{TT} 1=\), T \(2=\), т \(3=\).

(c) Find the cutoff frequency of each plot. How does the bandwidth relate to the actual cutoff frequency?

(d) Suppose you wanted the cutoff frequency to be \(\omega_{0}\), what value of \(B\) would you select? Verify your choice with MATLAB.