1
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
The parabolic are $$y = \sqrt x ,1 \le x \le 2$$ is revolved around the $$x$$-axis. The volume of the solid of revolution is
A
$${\pi \over 4}$$
B
$${\pi \over 2}$$
C
$${{3\pi } \over 4}$$
D
$${{3\pi } \over 2}$$
2
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
The function $$y = \left| {2 - 3x} \right|$$
A
is continuous $$\forall x \in R$$ and differentiable $$\forall x \in R$$
B
is continuous $$\forall x \in R$$ and differentiable $$\forall x \in R$$ except at $$x = {3 \over 2}$$
C
is continuous $$\forall x \in R$$ and differentiable $$\forall x \in R$$ except at $$x = {2 \over 3}$$
D
is continuous $$\forall x \in R$$ and except at $$x=3$$ and differentiable $$\forall x \in R$$
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 2010
MCQ (Single Correct Answer)
+1
-0.3
The value of the integral $$\int\limits_{ - a}^a {{{dx} \over {1 + {x^2}}}} $$
A
$$-\pi $$
B
$${{ - \pi } \over 2}$$
C
$${{ \pi } \over 2}$$
D
$$\pi $$
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NEET
Graduate Aptitude Test in Engineering
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