A 2nd order control system is to be designed so that the transient response meets the following two specs: transient time tr≤0.6sec and the 5% settling time ts≤3sec.

(i) Sketch the corresponding admissible pole locations region in the s-plane. Will a system of transfer function T(s) = 25/s²+6s+25 = 25/(s+3−j4)(s+3+j4) satisfy the two requirements stated above? State the reason for your answer.

(ii) For T(s) above, determine numerical value for the expected transient response overshoot Mp of the system's unit step response.