Utilizing the Routh-Hurwitz criterion, determine the stability of the following

Chapter 0, Problem P6.1

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Utilizing the Routh-Hurwitz criterion, determine the stability of the following polynomials: (a) s 2 + 5s + 2 (b) s3 + 4^2 + &r + 4 (c) 53 + 2s2 - 6s + 20 (d) + 53 + 2s2 + 12s + 10 (e) 54 + s* + 3s2 + 25 + X (t) (g) s 5 + s 4 + 253 + s + 6 5 5 + .y 4 + 2^3 + s 2 + s + K Determine the number of roots, if any, in the righthand plane. If it is adjustable, determine the range of K that results in a stable system.

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