GATE ME 2008 | Calculus Question 33 | Engineering Mathematics

GATE ME 2008

MCQ (Single Correct Answer)

-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 38 English

GATE ME 2008 Engineering Mathematics - Calculus Question 38 English

$${1 \over 6}$$

$${2 \over 9}$$

$${7 \over {16}}$$

$$1$$

GATE ME 2008

MCQ (Single Correct Answer)

-0.6

Which of the following integrals is unbounded?

$$\int\limits_0^{\pi /4} {\tan xdx} $$

$$\int\limits_0^\alpha {{1 \over {1 + {x^2}}}dx} $$

$$\int\limits_0^\alpha {x.{e^{ - x}}dx\,\,} $$

$$\int\limits_0^1 {{1 \over {1 - x}}dx\,\,} $$

GATE ME 2008

MCQ (Single Correct Answer)

-0.6

The length of the curve $$\,y = {2 \over 3}{x^{3/2}}$$ between $$x=0$$ & $$x=1$$ is

$$0.27$$

$$0.67$$

$$1$$

$$1.22$$

GATE ME 2008

MCQ (Single Correct Answer)

-0.6

Let $$\,\,f = {y^x}.$$ What is $$\,\,{{{\partial ^2}f} \over {\partial x\partial y}}\,\,$$ at $$x=2,$$ $$y=1$$?

$$0$$

$$\ln \,2$$

$$1$$

$${1 \over {\ln \,2}}$$

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GATE ME Subjects

Engineering Mechanics

Engineering Mechanics Static and Dynamics

Strength of Materials

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

Theory of Machines

Analysis of Plane Mechanisms Gears and Gear Trains Vibrations Flywheel

Engineering Mathematics

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

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

Fluid Mechanics

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

Turbo Machinery

Heat Transfer

Conduction Fin Design and Transient Heat Conduction Convection Radiation Heat Exchangers

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

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

General Aptitude

Verbal Ability Numerical Ability