A certain servomechanism system has dynamics dominated by a pair of complex poles and no finite zeros. The time domain specifications on the rise time (tr), percent overshoot (Mp), and settling time (ts) are given by tr <= 0.6 sec, Mp <= 17% ts <= 9.2 sec. (a) Sketch the region in the s-plane where the poles could be placed so that the system will meet all three specifications. (b) Indicate on your sketch the specific locations (denoted by x) that will have the smallest rise time and also meet the settling time specification exactly.