Signals and Systems - Engineering

Q1:

If Laplace transform of f(t) is F(s), then =

A s F(s) - f(0-)

B

C s F(s) + f(0-)

D

ANS:D -

£f(t) = £-1F(s) = f(t) £[a f1(t) + bf2(t)] = aF1(s) + bF2(s) where £[f(t - T)] = e-sT F(s) £[e-at f(t)] = F(s + a) Initial value theorem Final value theroem Convolution Integral where t is dummy variable for t.