1
GATE ME 2013
MCQ (Single Correct Answer)
+1
-0.3
The value of the definite integral $$\int_1^e {\sqrt x \ln \left( x \right)dx} $$ is
A
$${4 \over 9}\sqrt {{e^3}} + {2 \over 9}$$
B
$${2 \over 9}\sqrt {{e^3}} - {4 \over 9}$$
C
$${2 \over 9}\sqrt {{e^3}} + {4 \over 9}$$
D
$${4 \over 9}\sqrt {{e^3}} - {2 \over 9}$$
2
GATE ME 2012
MCQ (Single Correct Answer)
+1
-0.3
Consider the function $$f\left( x \right) = \left| x \right|$$ in the interval $$\,\, - 1 \le x \le 1.\,\,\,$$ At the point $$x=0, f(x)$$ is
A
continuous and differentiable .
B
non-continuous and differentiable.
C
continuous and non-differentiable.
D
neither continuous nor differentiable.
3
GATE ME 2012
MCQ (Single Correct Answer)
+1
-0.3
The area enclosed between the straight line $$y=x$$ and the parabola $$y = {x^2}$$ in the $$x-y$$ plane is
A
$$1/6$$
B
$$1/4$$
C
$$1/3$$
D
$$1/2$$
4
GATE ME 2012
MCQ (Single Correct Answer)
+1
-0.3
$$\,\mathop {Lim}\limits_{x \to 0} \left( {{{1 - \cos x} \over {{x^2}}}} \right)$$ is
A
$$1/4$$
B
$$1/2$$
C
$$1$$
D
$$2$$
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Turbo Machinery
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