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5. (a) Prove that + s? V(s) sv(0-) v'(0-) (b) Prove that S- v(x)dr + VO (c) Prove that f(t - a)u(t a) +

5. (a) Prove that + s? V(s) sv(0-) v'(0-) (b) Prove that S- v(x)dr + VO (c) Prove that f(t - a)u(t a) + e-as F(s) (d) Show that lim,0+ f(t) = lim, [sF(s)] (e) Show that lim f(t) = lim,0 [sF(s)] %3D

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