1
GATE ME 2014 Set 4
MCQ (Single Correct Answer)
+1
-0.3
Laplace transform of $$\cos \,\left( {\omega t} \right)$$ is $${s \over {{s^2} + {\omega ^2}.}}$$. The Laplace transform of $${e^{ - 2t}}\,\cos \left( {4t} \right)$$ is
A
$${{s - 2} \over {{{\left( {s - 2} \right)}^2} + 16}}$$
B
$${{s + 2} \over {{{\left( {s - 2} \right)}^2} + 16}}$$
C
$${{s - 2} \over {{{\left( {s + 2} \right)}^2} + 16}}$$
D
$${{s + 2} \over {{{\left( {s + 2} \right)}^2} + 16}}$$
2
GATE ME 2013
MCQ (Single Correct Answer)
+1
-0.3
The function $$f(t)$$ satisfies the differential equation $${{{d^2}f} \over {d{t^2}}} + f = 0$$ and the auxiliary conditions, $$f\left( 0 \right) = 0,\,{{df} \over {dt}}\left( 0 \right) = 4.$$ The laplace transform of $$f(t)$$ is given by
A
$${2 \over {s + 1}}$$
B
$${4 \over {s + 1}}$$
C
$${4 \over {{s^2} + 1}}$$
D
$${2 \over {{s^4} + 1}}$$
3
GATE ME 2012
MCQ (Single Correct Answer)
+1
-0.3
The inverse Laplace transform of the function $$F\left( s \right) = {1 \over {s\left( {s + 1} \right)}}$$ is given by
A
$$f\left( t \right) = \sin \,t$$
B
$$f\left( t \right) = {e^{ - t}}\sin \,t$$
C
$$f\left( t \right) = {e^{ - t}}$$
D
$$f\left( t \right) = 1 - {e^{ - t}}$$
4
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
The Laplace transform of $$f\left( t \right)$$ is $${1 \over {{s^2}\left( {s + 1} \right)}}.$$
The function
A
$$t - 1 + {e^{ - t}}$$
B
$$t + 1 + {e^{ - t}}$$
C
$$ - 1 + {e^{ - t}}$$
D
$$2t + {e^t}$$
GATE ME Subjects
Turbo Machinery
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12