(Solved): please help a-d \[ H(s)=\frac{s\left(s^{2}+7 s+7\right)}{s(2 s+4)^{2}} \] For the transfer function ...

\[ H(s)=\frac{s\left(s^{2}+7 s+7\right)}{s(2 s+4)^{2}} \] For the transfer function above, (a) Modify the equation so that the zeros and poles are in the standard format. (See image below.) (b) Draw the magnitude of each term (constant, zeros, poles) separately on different plots. (c) Combine the separate magnitude Bode plots from part (b) into one plot. (d) Draw the phase Bode plot. Real Pole: \( \frac{1}{\frac{s}{\omega_{0}}+1} \quad \frac{\text { Zero at Origin": } s}{\text { Underdamped Poles: }} \) Real Zero*: \( \frac{s}{\omega_{0}}+1 \quad \frac{\overline{\left(\frac{s}{\omega_{0}}\right)^{2}+2 \zeta\left(\frac{s}{\omega_{0}}\right)+1}}{\text { Underdamped Zeros": }} \) Pole at Origin: \( \frac{1}{s} \quad\left(\frac{s}{\omega_{0}}\right)^{2}+2 \zeta\left(\frac{s}{\omega_{0}}\right)+1 \)