Using the Routh-Hurwitz criteT"ion, deterrn.ine the stability of the closed-loop system that has the following characteristic equations.

Determine the nurnber of roots of each equation that are in the right half s-plane and on the jw-axis.

(a) s3 + 25s2 + lOs + 450 = 0

{b) s3 + 25s2 + lOs + 50 = 0

(c) s3 + 25s2 + 250s + 10 = 0 Problem