Multiple poles at the origin. Sketch the asymptotes of the Bode plot magnitude and phase for each of the listed open-loop transfer functions. After completing the hand sketches, verify your result with Matlab. Turn in your hand sketches and the Matlab results on the same scales. (a) L(s) = 1/s^2(s + 10)
(b) L(s) = 1/s^3(s + 8)
(c) L(s) = 1/s^4 (s + 10)
(d) L(s) = (s + 3)/s^2(s + 10)
(e) L(s) = (s + 3)s^3(s + 5)
(f) L(s) = (s + 1)^2/s^3(s + 10)