Engineering Mathematics
Linear Algebra
Marks 1Marks 2
Vector Calculus
Marks 1Marks 2
Probability and Statistics
Marks 1Marks 2
Differential Equations
Marks 1Marks 2
Complex Variable
Marks 1Marks 2
Transform Theory
Marks 1Marks 2
Numerical Methods
Marks 1Marks 2
1
GATE ME 2022 Set 1
MCQ (Single Correct Answer)
+1
-0.33
The Fourier series expansion of x3 in the interval −1 ≤ x < 1 with periodic continuation has
A
only sine terms
B
only cosine terms
C
both sine and cosine terms
D
only sine terms and a non-zero constant
2
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Laplace transform of $$\cos \left( {\omega t} \right)$$ is
A
$${s \over {{s^2} + {\omega ^2}}}$$
B
$${\omega \over {{s^2} + {\omega ^2}}}$$
C
$${s \over {{s^2} - {\omega ^2}}}$$
D
$${\omega \over {{s^2} - {\omega ^2}}}$$
3
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The Laplace transform of $${e^{i5t}}$$ where $$i = \sqrt { - 1} ,$$
A
$${{s - 5i} \over {{s^2} - 25}}$$
B
$${{s + 5i} \over {{s^2} + 25}}$$
C
$${{s + 5i} \over {{s^2} - 25}}$$
D
$${{s - 5i} \over {{s^2} + 25}}$$
4
GATE ME 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The Laplace Transform of $$f\left( t \right) = {e^{2t}}\sin \left( {5t} \right)\,u\left( t \right)$$ is
A
$${5 \over {{s^2} - 4s + 29}}$$
B
$${5 \over {{s^2} + 5}}$$
C
$${{s - 2} \over {{s^2} - 4s + 29}}$$
D
$${5 \over {s + 5}}$$
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude