Question: A system has a closed-loop transfer function T(s) = 1 / s3 + 5s2 + 20s + 6. (a) Determine whether the system is stable.

A system has a closed-loop transfer function
T(s) = 1 / s3 + 5s2 + 20s + 6.
(a) Determine whether the system is stable.
(b) Determine the roots of the characteristic equation.
(c) Plot the response of the system to a unit step input.

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