A unity feedback control system is shown below. The open-loop transfer function of the system (plant) is G(s) and the compensator transfer function is shown as Gc(s). R(s) Gc(s) peo The open-loop transfer function of the system, G(s), is given by: K(s+2) G(s) = (s+1)(s+4)(s+5) G(s) C(s) The system is designed to have a settling time of 3 seconds and a peak time of 5 seconds. a) Determine the desired operating point. b) Determine the angle contribution that must be introduced by the compensator Ge(s) to have the compensated system operate at the desired point.