1
GATE CE 2011
MCQ (Single Correct Answer)
+1
-0.3
Given two continuous time signals $$x\left( t \right) = {e^{ - t}}$$ and $$y\left( t \right) = {e^{ - 2t}}$$ which exists for $$t>0$$ then the convolution $$z\left( t \right) = x\left( t \right) * y\left( t \right)$$ is ____________.
2
GATE CE 2009
MCQ (Single Correct Answer)
+1
-0.3
Laplace transform of $$f\left( x \right) = \cos \,h\left( {ax} \right)$$ is
3
GATE CE 2005
MCQ (Single Correct Answer)
+1
-0.3
The Laplace transform of a function $$f(t)$$ is
$$$F\left( s \right) = {{5{s^2} + 23s + 6} \over {s\left( {{s^2} + 2s + 2} \right)}}$$$
As $$t \to \propto ,\,\,f\left( t \right)$$ approaches
As $$t \to \propto ,\,\,f\left( t \right)$$ approaches
4
GATE CE 2004
MCQ (Single Correct Answer)
+1
-0.3
A delayed unit step function is defined as
$$$u\left( {t - a} \right) = \left\{ {\matrix{
{0,} & {t < a} \cr
{1,} & {t \ge a} \cr
} } \right.$$$
Its Laplace transform is ____________.
Questions Asked from Transform Theory (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE CE Subjects
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude