GATE PI 2012 | Transform Theory Question 1 | Engineering Mathematics

GATE PI 2012

MCQ (Single Correct Answer)

-0.3

The inverse Laplace transform of the function $$F\left( s \right) = {1 \over {s\left( {s + 1} \right)}}$$ is given by

$$f\left( t \right) = \sin \,t$$

$$f\left( t \right) = {e^{ - t}}\sin \,t$$

$$f\left( t \right) = {e^{ - t}}$$

$$f\left( t \right) = 1 - {e^{ - t}}$$

GATE PI 2008

MCQ (Single Correct Answer)

-0.3

Laplace transform of $$8$$ $${t^3}$$ is

$${8 \over {{s^4}}}$$

$${{16} \over {{s^4}}}$$

$${{24} \over {{s^4}}}$$

$${{48} \over {{s^4}}}$$

GATE PI 2008

MCQ (Single Correct Answer)

-0.3

Laplace transform of $$sin$$ $$ht$$ is

$${1 \over {{s^2} - 1}}$$

$${1 \over {1 - {s^2}}}$$

$${s \over {{s^2} - 1}}$$

$${s \over {1 - {s^2}}}$$

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