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Question: please solve all the parts and dont solve it unless...

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Please solve all the parts and don’t solve it unless you are 100% sure that your answer is correct! Thanks!
PROBLEM #2 For G,)-1, the dosed-oop characteristic equation of the unity feedback control system shown in Figure P2 is given as +10s+25+ K R(s) G, (F) G6) Figure P2. Unity feedback compensated control system block diagram. Do the following: (a) Use root locus techniques to design the compensator, G,(s), such that the closed-Hoop system operates at a damping ratio ζ-0.707 and the response exhibits a peak time i,-1.0472soc. (b) What type of compensator G (s) did you design? (c) Verify that your design meets the given specifications (10 Points) (2 Points) 3 Points) PLEASE, START YOUR ANSWER IN THE SPACE PROVIDED BELOW
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