Please solve B & C

3) (30 pts) Gplant is updated to include G3 such that Gplant is G1(s) G2(s)G3(s) as shown below. Let K1=5, K2=20. Gplant (S) R(s) C(s) G3(s) G2(S) G1(s) A) (10 pts) Sketch the root locus by including the asymptotes, the asymptote angle, and the breakaway location. B) (15 pts) Given the following two operating points, use the angle criteria for both points to determine which or both operating point(s) is on the root locus. For the point(s) that is on the root locus, find the gain value that achieves that operating point. (i) Operating point 1: 6d= -3.62 wd= 4.24 (ii) Operating point 2: 8d =-3.31 wd = 4.85 C) (5 pts) For the operating point on the root locus, find the settling time Is, peak time To, 7, %OS and natural frequency wn