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Problem-1 (100 pts) Sketch the polar plot of the frequency response for the following loop transfer functions and analyze the stability of these systems based on the polar plots. (Hint: You can write a Matlab code to plot the response of these systems in polar coordinates and include your code in your report. Plots obtained by using the nyquist0 function of Matlab will get a zero grade). a) G(S)a+0.25s)(1+3s) 5s2+7s+5 c) G (s) = s2 +6s+8 d) G(s) 20 +160

please sketch the polar plot of the frequency response.. (briefly please work in matlab)

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