GATE ME 2010 | Calculus Question 33 | 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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GATE ME Subjects

Engineering Mechanics

Engineering Mechanics Static and Dynamics

Machine Design

Bolted Riveted and Welded Joints Design For Static Loading Design of Brakes and Clutches Design of Spur Gears Design of Bearings Fatigue Strength

Strength of Materials

Springs Pure Bending Stresses In Beams Simple Stress and Strain Complex Stresses Moment of Inertia Deflection of Beams Shear Force and Bending Moment Torsion Thin Cylinders Columns and Struts Strain Energy Method

Heat Transfer

Conduction Fin Design and Transient Heat Conduction Convection Radiation Heat Exchangers

Production Engineering

Metrology and Inspection Sheet Metal Forming Processes Welding Process Metal Forming Metal Cutting Advance Machine Tools Machining Casting

Industrial Engineering

Queuing Production Planning and Control Line Balancing Forecasting Linear Programming Assignment Pert and Cpm Inventory Control Transportation Scheduling

Turbo Machinery

Theory of Machines

Vibrations Gears and Gear Trains Flywheel Analysis of Plane Mechanisms

Engineering Mathematics

Linear Algebra Vector Calculus Probability and Statistics Differential Equations Transform Theory Calculus Complex Variable Numerical Methods

Fluid Mechanics

Fluid Properties Boundary Layer Turbulent Flow Fluid Dynamics Laminar Flow Fluid Kinematics Fluid Statics

Thermodynamics

Calculation of Work and Heat Entropy and Irreversibility Properties of Pure Substances Basic Concepts and Zeroth Law First Law of Thermodynamics Rankine Cycle Availability Second Law of Thermodynamics

General Aptitude

Numerical Ability Logical Reasoning Verbal Ability