The forward path transfer function of a position control system with velocity feedback is given by
\[
\mathrm{G}(s)=\frac{\mathrm{K}}{s(s+p)}
\]
Determine the sensitivity of the transfer function of the closed loop system to changes in \(\mathrm{K}, p\) and \(\alpha\) for transfer function of the feedback path \(\mathrm{H}(s)=(1+\alpha s)\). The nominal values of the parameters are \(\mathrm{K}=12, p=3\) and \(\alpha=0.14\).