Question: The transfer function of a dynamic system is given by [G(s)=frac{s+1}{4 s^{4}+5 s^{3}+2 s^{2}+s+6} ] a. Using Routh's stability criterion, determine the stability of the

The transfer function of a dynamic system is given by

\[G(s)=\frac{s+1}{4 s^{4}+5 s^{3}+2 s^{2}+s+6} \]

a. Using Routh's stability criterion, determine the stability of the system.

b. Using MATLAB, solve for the poles of the system and verify the result obtained in Part (a).

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