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 2014 Set 4
MCQ (Single Correct Answer)
+2
-0.6
The value of the integral $$\,\int\limits_0^2 {\int\limits_0^x {{e^{x + y}}\,\,dy} } $$ $$dx$$ is
A
$${1 \over 2}\left( {e - 1} \right)$$
B
$${1 \over 2}{\left( {{e^2} - 1} \right)^2}$$
C
$${1 \over 2}\left( {{e^2} - e} \right)$$
D
$${1 \over 2}{\left( {e - {1 \over e}} \right)^2}$$
2
GATE ME 2012
MCQ (Single Correct Answer)
+2
-0.6
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $$y = 2x\,\,\, - 0.1{x^2}$$ where $$y$$ is the height of the arch in meters. The maximum possible height of the arch is
A
$$8$$ meters
B
$$10$$ meters
C
$$12$$ meters
D
$$14$$ meters
3
GATE ME 2010
MCQ (Single Correct Answer)
+2
-0.6
The infinite series $${\,f\left( x \right) = x - {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} - {{{x^7}} \over {7!}} + - - - \,\,}$$ Converges to
A
$$cos (x)$$
B
$$sin (x)$$
C
$$sin$$ $$h(x)$$
D
$${e^x}$$
4
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
Let $$\,\,f = {y^x}.$$ What is $$\,\,{{{\partial ^2}f} \over {\partial x\partial y}}\,\,$$ at $$x=2,$$ $$y=1$$?
A
$$0$$
B
$$\ln \,2$$
C
$$1$$
D
$${1 \over {\ln \,2}}$$
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