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 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
$${1 \over {\ln \,2}}$$
2
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
The length of the curve $$\,y = {2 \over 3}{x^{3/2}}$$ between $$x=0$$ & $$x=1$$ is
A
$$0.27$$
B
$$0.67$$
C
$$1$$
D
$$1.22$$
3
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
Which of the following integrals is unbounded?
A
$$\int\limits_0^{\pi /4} {\tan xdx} $$
B
$$\int\limits_0^\alpha {{1 \over {1 + {x^2}}}dx} $$
C
$$\int\limits_0^\alpha {x.{e^{ - x}}dx\,\,} $$
D
$$\int\limits_0^1 {{1 \over {1 - x}}dx\,\,} $$
4
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
Consider the shaded triangular region $$P$$ shown in the figure. What is $$\int\!\!\!\int\limits_p {xy\,dx\,dy\,?} $$ GATE ME 2008 Engineering Mathematics - Calculus Question 45 English
A
$${1 \over 6}$$
B
$${2 \over 9}$$
C
$${7 \over {16}}$$
D
$$1$$
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