A unity feedback control system has the following transfer function:

\[G(s)=\frac{K}{s(s+a)}\]

a) Compute the sensitivity of the closed-loop transfer function to changes in the parameter K.

b) Compute the sensitivity of the closed-loop transfer function to changes in the parameter \(a\).

c) If the unity gain in the feedback changes to a value \(\beta eq 1\), compute the sensitivity of the closed-loop transfer function with respect to \(\beta\).