7. For each of the transfer functions shown below, find the locations of the poles and zeros, plot them
on the s-plane, and then write an expression for the general form of the step response without solving
for the inverse Laplace transform. State the nature of each response.
a. $T(s) = \frac{s+2}{s^2+9}$
10(s+7)
b. $T(s) = \frac{10(s+7)}{(s+10)(s+20)}$
8. For each of the second-order systems that follow, find $\zeta$, $\omega_n$, $T_s$, $T_p$, $T_r$ and % OS
16
0.04
a. $\frac{16}{s^2+3s+16}$
b. $\frac{0.04}{s^2+0.02s+0.04}$
