Represent the feedback control systems shown in Figure P5.24 in state space. When possible, represent the open-loop transfer functions separately in cascade and complete the feedback loop with the signal path from output to input. Draw your signal-flow graph to be in one-to one correspondence to the block diagrams (as close as possible).

R(s) E(s) 50 C(s) (s + 9)(s + 8)(s + 2) (a) R(s) 10 C(s) s(s? + 6s + 24) (b) R(s) + E(s) C(s) 160 s(s + 1) (c) R(s) + E(s) 16(s + 2) C(s) (s+ 1)2 (d) FIGURE P5.24