There is a need to visualize the gain plot of the following transfer function: [ T(s)=frac{5(s+100)}{s^{2}+2000 s+10^{6}}

Question:

There is a need to visualize the gain plot of the following transfer function:

\[
T(s)=\frac{5(s+100)}{s^{2}+2000 s+10^{6}}
\]

(a) Use MATLAB to determine what type of filter it is (LP, HP, BP, or BR).

(b) From your plot, determine the cutoff frequency or frequencies, the bandwidth, and the maximum gain and frequency of the maximum gain.

(c) What is the dc gain and the infinite frequency gain?

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