(a) Show that the transfer function of two systems in parallel, as shown in Fig. P1.1-l(a), is equal to the sum of the transfer functions.

(b) Show that the transfer function of two systems in series (cascade), as shown in Fig. Pl.1-l(b), is equal to the product of the transfer functions.

E(s) E(s) G(s) Fig. P1.1-1 G(s) G(s) (a) M(s) (b) G(8) C(s) C(s)