Repeat Problem 5.4-1 for each of the transfer functions

(a) \(\frac{C(z)}{R(z)}=\frac{0.5 z}{z-1.8}\)

(b) \(\frac{C(z)}{R(z)}=\frac{0.4}{z-0.16}\)

(c) \(\frac{C(z)}{R(z)}=\frac{0.1 z-0.05}{z-0.9}\)

(d) \(\frac{C(z)}{R(z)}=\frac{0.27 z+0.5}{z^{2}-1.6 z+0.8}\)

Problem 5.4-1. 

Given a closed-loop system described by the transfer function \[
\frac{C(z)}{R(z)}=\frac{z^{2}+0.6 z+0.4}{z^{2}-2 z+1.8}
\]