Draw a Nyquist diagram for each of the following systems, and compare the result with that obtained using the MATLAB command Nyquist.

(a) \(K G(s)=\frac{K(s+1)}{s+2}\)

(b) \(\quad K G(s)=\frac{K}{(s+1)(s+2)^{2}}\)

(c) \(\quad K G(s)=\frac{K(s+4)(s+1)}{s(s+2)^{4}}\)