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1 Answer the following five questions in this page: Find the closed loop system characteristic equation when the gain k is 6. (use the following format S^n + as^n-1 + b*S^n-2 ++g*S^1+f) where n is order of the system a,b..... constants) e.g. S^3+2+5^2+5*S+8* (6 Points) Root Locus Editor for LoopTransfer C 253 072 050 0.4 02 Study the Root Locus Figure and answer following five questions: 4 The table represent the Gain values of the points (A, B,C, and D) assigned on the root loci figure. Point Gain A 1.8 8 2.025 C 2.203 2.704 D Enter your answer at 006 Tous C 0.90 0.00 0.01 0.83 4 5 072 14 210 14 34 RA n 02 SINI X

Find the value of the assigned natural frequency. (6 Points) 5 Find the range of gain where the natural frequency is higher than the assigned won and the damping ratio is higher than the assigned (6 Points) Enter your answer