8. Consider the system below. Assume your goal is to achieve a peak time of 0.2 seconds and 20% overshoot in response to a step input. input + Gc(s) (s + 8) (s+3)(s+ 6) (s + 10) output a. Where should the dominant poles be located to achieve your design criteria, assuming a second order approximation is sufficient? Show you work on how you calculated this. b. Show the root locus for the system with only a proportional controller (you may use Matlab). Can a proportional controller alone be used to achieve the design criteria? Why or why not?