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