GATE ME 2010 | Calculus Question 35 | Engineering Mathematics

GATE ME 2010

MCQ (Single Correct Answer)

-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

$${\pi \over 4}$$

$${\pi \over 2}$$

$${{3\pi } \over 4}$$

$${{3\pi } \over 2}$$

GATE ME 2010

MCQ (Single Correct Answer)

-0.3

The function $$y = \left| {2 - 3x} \right|$$

is continuous $$\forall x \in R$$ and differentiable $$\forall x \in R$$

is continuous $$\forall x \in R$$ and differentiable $$\forall x \in R$$ except at $$x = {3 \over 2}$$

is continuous $$\forall x \in R$$ and differentiable $$\forall x \in R$$ except at $$x = {2 \over 3}$$

is continuous $$\forall x \in R$$ and except at $$x=3$$ and differentiable $$\forall x \in R$$

GATE ME 2010

MCQ (Single Correct Answer)

-0.3

The value of the integral $$\int\limits_{ - a}^a {{{dx} \over {1 + {x^2}}}} $$

$$-\pi $$

$${{ - \pi } \over 2}$$

$${{ \pi } \over 2}$$

$$\pi $$

GATE ME 2009

MCQ (Single Correct Answer)

-0.3

The distance between the origin and the point nearest to it on the surface $$\,\,{z^2} = 1 + xy\,\,$$ is

$$1$$

$${{\sqrt 3 } \over 2}$$

$${\sqrt 3 }$$

$$2$$

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