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Laplace transform of the function f(t) is given by $${\text{F}}\left( {\text{s}} \right) = {\text{L}}\left\{ {{\text{f}}\left( {\text{t}} \right)} \right\} = \int_0^\infty {{\text{f}}\left( {\text{t}} \right){{\text{e}}^{ - {\text{st}}}}{\text{dt}}{\text{.}}} $$       Laplace transform of the function shown below is given by
Transform Theory mcq question image
The Laplace transform of a function f(t) u(t), where f(t) is periodic with period T, is A(s) times the Laplace transform of its first period. Then
If F(s) is the Laplace transform of function f(t), then Laplace transform of $$\int\limits_0^{\text{t}} {{\text{f}}\left( \tau \right){\text{d}}\tau } $$   is
If the Laplace transform of $${{\text{e}}^{\omega {\text{t}}}}$$  is $$\frac{1}{{{\text{s}} - \omega }},$$  the Laplace transform of tcosh t is
Laplace transform of cos (ωt) is $$\frac{{\text{s}}}{{{{\text{s}}^2} + {\omega ^2}}}.$$  The Laplace transform of e-2t cos(4t) is
The Laplace transform of the causal periodic square wave of period T shown in the figure below is It
Signal Processing mcq question image
The unilateral Laplace transform of f(t) is $${1 \over {{s^2} + s + 1}}.$$   Which one of the following is the unilateral Laplace transform of g(t) = t.f(t)?