1. Sketch the polar plot of the frequency response for the following loop transfer functions:

Gc(s)G(s) = 1 / ((1 + 0.25s)(1 + 3s))

Gc(s)G(s) = 5(s^2 + 1.4s + 1) / (s - 1)^2

Gc(s)G(s) = (s - 8) / (s^2 + 6s + 8)

Gc(s)G(s) = 20(s + 8) / (s(s +2)(s + 2))

2. Sketch the Bode diagram representation of the frequency response for the transfer functions give in problem (1).

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Give the polar plot of the frequency response : 1. Sketch the polar plot of the frequency response for the following loop transfer functions: Gc(s)G(s) = 1 / ((1 + 0.25s)(1 + 3s)) Gc(s)G(s) = 5(s^2 + 1.4s + 1) / (s - 1)^2 Gc(s)G(s) = (s - 8) / (s^2 + 6s + 8) Gc(s)G(s) = 20(s + 8) / (s(s +2)(s + 2).. |

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