For the following open loop transfer functions, i) Sketch the Bode plot by your hand, ii) compare with the MATLAB plots, and iii) find the gain margin and phase margin from the MATLAB plots. For drawing Bode plots, refer the following example: for G (s) = s + 1/s + 3. num = [1 1]: den = [1 3]: figure (1) bode (num, den) (a) G (s) = s + 5/(s + 2) (s + 4) (b) G (s) = (s + 3) (s + 5)/s (s + 2) (s + 4)