6. L [sint/t ] =
(a) 1/s2+1
(b) cot–1 s
(c) cot–1 (s–1)
(d) tan–1 s
7. The relation between unit step function and unit impulse function is :
(a) L[u(t– a)] = L[δ(t)]
(b) L[u′(t– a)] = L[δ(t– a)]
(c) L[u(t)] = L[δ′(t– a)]
(d) None of these
8. L [eiat] is:
(a) 1/s+ia
(b) 1/s
(c) 1/s-ia
(d) None of these
9. Laplace transform of (tsin t) is :
(a) 2s/(s2+1)2
(b) s/(s+1)
(c) 2s/(s2+1)
(d) 2s/(s2-1)2
10. L f(t) u(t– a) is :
(a) easLf(t)
(b) e-asL[f(t+ a)]
(c) f(t+ a)
(d) None of these
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