The transfer function of a dynamic system is given by [G(s)=frac{s+4}{s^{5}+2 s^{4}+3 s^{3}+8 s^{2}+4 s+5}] Determine the

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The transfer function of a dynamic system is given by

\[G(s)=\frac{s+4}{s^{5}+2 s^{4}+3 s^{3}+8 s^{2}+4 s+5}\]

Determine the stability of the system

a. Using Routh's stability criterion without solving for the poles.

b. Using MATLAB to solve for the poles.

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