Problem 3: Using Routh-Hurwitz Criterion, a. Determine the number of roots in the right half-plane, in the left half-plane, and on the jo b. Determine the stability of the system of the following characteristic equations. I. Q(s) s+6 s3 +4 s² + 12s+1 II. Q(s) s5+5s4-10 s2-4s +10 III. IV. V. Q(s) s4 s3 + 14 s² + 20 s + 45 = 3 Q(s) s5+8s + 21 s³ + 12 s² - 22 s - 20 = Q(s) = s6 +2s5 + 13 s¹ + 16 s³ +56 s² + 32 s + 80 - az