A system is represented by Figure P2.36.

(a) Determine the partial fraction expansion and y(t) for a ramp input, r(t) = t, and t ≥ 0.

(b) Obtain a plot of y(t)

for part (a), and find y(t) for t = 1.0 s.

(c) Determine the impulse response of the system y(t) for t ≥ 0. (d)

Obtain a plot of y(t) for part (c), and find y(t) for t = 1.0 s.

R(s) 24 Y(s) s3+9s2+265 +24 FIGURE P2.36 A third-order system.