(a) Transform

\[G(z)=\frac{(z+0.3)(z-0.3)}{(z-0.1)(z-0.5+0.5 i)(z-0.5-0.5 i)}\]

into a continuous-time equivalent system by means of \(\mathrm{ZOH}\) method of sampling intervals ranging from \(T_{s}=0.01 \mathrm{sec}\) to \(T_{s}=1 \mathrm{sec}\).

(b) Determine the poles and zeros of the resulting continuous-time systems.

(c) Plot the root locus for each of the continuous-time systems.