A triangular wave with \(V_{\mathrm{A}}=10 \mathrm{~V}\) and \(T_{0}=20 \pi\) ms drives a circuit whose transfer function is

\[
T(s)=\frac{100 s}{(s+50)^{2}+400^{2}}
\]

(a) Find the amplitude of the first four nonzero terms in the Fourier series of the steady-state output. What term in the Fourier series tends to dominate the response? Explain.

(b) Repeat Part (a) for a new transfer function \(X(s)=T(s\) )/s.

(c) Plot the frequency response of each transfer function and explain the key differences.