Repeat Problem 1 for the following open-loop transfer functions.

a. \(G(s)=\frac{1}{s^{2}+4 s+100}\)

b. \(G(s)=\frac{s+0.5}{s^{2}+s+25}\)

c. \(G(s)=\frac{s^{2}+0.1 s+25}{s^{2}+0.24 s+144}\)

d. \(G(s)=\frac{100\left(s^{2}+7 s+49\right)}{(s+1)(s+500)}\)

Data From Problem 1:

Sketch the asymptotes of the Bode plot magnitude and phase for the following open-loop transfer functions. Make sure to give the corner frequencies, slopes of the magnitude plot, and phase angles. Verify the results using MATLAB.

a. \(G(s)=\frac{s+1}{s+10}\)

b. \(G(s)=\frac{s+1}{(s+10)(s+1000)}\)

c. \(G(s)=\frac{s+1}{s(s+10)(s+1000)}\)

d. \(G(s)=\frac{(s+1)^{2}}{s(s+10)(s+1000)}\)