Question: Write a program in MATLAB to obtain the Nyquist and Nichols plots for the following transfer function for $k=30$. [G(s)=frac{k(s+1)(s+2+5 i)(s+2-5 i)}{(s+2)(s+5)(s+7)(s+2+7 i)(s+2-7 i)}]

Write a program in MATLAB to obtain the Nyquist and Nichols plots for the following transfer function for $k=30$.

\[G(s)=\frac{k(s+1)(s+2+5 i)(s+2-5 i)}{(s+2)(s+5)(s+7)(s+2+7 i)(s+2-7 i)}\]

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