1. Consider the unity feedback closed-loop control system shown below, with

G(s) = 100 / s(s² + 20s +10)

a. Determine the transfer function 7 (s) = C(s) / R (s)

b. Determine the poles and zeros of I(s)

c. Use a unit step input, R(s)=1/s, and obtain the partial fraction expansion for C(s) and the value of the residues.