- 5 19 [27] A certain third-order system has roots Sla = -20 and 52a, 3a = -334. frequency 3b 4i $ Another has roots S15

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5 19 27 A Certain Third Order System Has Roots Sla 20 And 52a 3a 334 Frequency 3b 4i Another Has Roots S15 1 (55.04 KiB) Viewed 12 times

- 5 19 [27] A certain third-order system has roots Sla = -20 and 52a, 3a = -334. frequency 3b 4i $ Another has roots S15 = -4 and $25,36 = -3 = 41. Which one is more accurately approximated by a second-order system with roots S1c,2c = -3+4i? Verify your answer by plotting the following time responses of the three systems over the range 0 sis -20t *a(t)= -(5/61)(56 cos(4t) + 67 sin(4t))e –3+ - (25/61)e-204 +5 xb(t) = -(5/17)(8 cos(4t) – 19 sin(4t))e-3t - (125/17)e ++ +5 Xe(t) = -(5/4)(4 cos(4t) + 3 sin(4t))e-3+ + 5 -