(a) For the LTI system of Figure P3.35(a), show that the system transfer function H(s) is...

(a) For the LTI system of Figure P3.35(a), show that the system transfer function H(s) is given by

H(s) = H1(s)H2(s),

where the transfer functions are as defined in (3.77).

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(b) For the LTI system of Figure (b), show that the system transfer function H(s) is given by

H(s) = H1(s) + H2(s),

where the transfer functions are as defined in (3.77).