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4. (25 pts) Consider the following closed loop system. R(s) + V(s) V(s) + V3(S) V4(s) + V5(s) C(s) G(s) G(5) G3(5) V7(s) Vg(s)

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4. (25 pts) Consider the following closed loop system. R(s) + V(s) V(s) + V3(S) V4(s) + V5(s) C(s) G(s) G(5) G3(5) V7(s) Vg(s) H(s) H3(5) V6(s) H(s) a) Find the transfer function T(s)= C(s)/R(s). b) Find the value of V4(s) given an input R(s).

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