GATE CE 1999 | Calculus Question 44 | Engineering Mathematics

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GATE CE 1999

MCQ (Single Correct Answer)

-0.3

The function $$f\left( x \right) = {e^x}$$ is _________.

Even

odd

Neither even nor odd

None

GATE CE 1999

MCQ (Single Correct Answer)

-0.3

Limit of the function, $$\mathop {Lim}\limits_{n \to \infty } {n \over {\sqrt {{n^2} + n} }}$$ is _______.

$${1 \over 2}$$

$$0$$

$$\infty $$

$$1$$

GATE CE 1998

MCQ (Single Correct Answer)

-0.3

A discontinuous real function can be expressed as

Taylor's series and Fourier's series

Taylor's series and not by Fourier's series

Neither Taylor's series nor Fourier's series

not by Taylor's series, but by Fourier's series

GATE CE 1998

MCQ (Single Correct Answer)

-0.3

The Taylor's series expansion of sin $$x$$ is ______.

$$1 - {{{x^2}} \over {2!}} + {{{x^4}} \over {4!}} - ......$$

$$1 + {{{x^2}} \over {4!}} + {{{x^4}} \over {4!}} + ......$$

$$x + {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} + ......$$

$$x - {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} - ......$$

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Structural Analysis

Stability and Static Indeterminacy Energy Principle Methods of Analysis Arches and Cable Slope Deflection Method Matrix Method Truss Indeterminacy Influence Line Diagram Plastic Analysis Moment Distribution Method

Fluid Mechanics and Hydraulic Machines

Drag and Lift Boundary Layer Theory Fluid Dynamics Flow Through Pipes Dimensional Analysis Open Channel Flow Fluid Pressure and Measurement Hydraulic Machines Hydrostatic Forces Properties of Fluids Fluid Statics

Strength of Materials Or Solid Mechanics

Simple Stresses Pure Bending Centroid and Moment of Inertia Shear Stress In Beams Complex Stress Strain Energy Method Thin Cylinder Deflection of Beams Columns and Struts Shear Force and Bending Moment Torsion Propped Cantilever Beam

Reinforced Cement Concrete

Doubly Reinforced Sections Bond Prestressed Concrete Limit State of Collapse Shear Limit State of Collapse Torsion Limit State of Collapse Compression Limit State of Serviceability Flanged Beams Workmenship and Fundamentals Singly Reinforced Sections Footings Slabs

Construction Material and Management

Program Evolution Review Technique Critical Path Method Construction Materials

Geotechnical Engineering

Origin of Soils Definitions and Properties of Soils Classification of Soils and Clay Mineralogy Effective Stress and Permeability Seepage Analysis Compaction of Soil Compressibility and Consolidation Shear Strength of Soil Stress Distribution of Soil Retaining Wall and Earth Pressure Stability of Slopes Shallow Foundation Pile Foundation Soil Stabilization

General Aptitude

Numerical Ability Logical Reasoning Verbal Ability

Environmental Engineering

Sources and Coveyances Water Quality Control of Water Treatment of Water Water Demand Waste Water Characteristics Sewage System and Sewer Appurtenances Treatment of Sewage Disposal of Sewage Effluent Solid Waste Management Air Pollution Noise Pollution

Steel Structures

Materials and Specifications Riveted Joints and Bolted Joints Compression Members Beams Plate Girder Welded Connections Tension Members Eccentric Connections

Hydrology

Precipitation and Frequency of Rainfall Data Evaporation and Transpiration Infiltration Hydrograph Flood Estimation and Flood Routing Well Hydraulics and River Gauging

Transportation Engineering

Highway Devolopment and Planning Highway Geometric Design Traffic Engineering Highway Materials Pavement Design Railway, Runway and Taxiway Design

Engineering Mathematics

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

Irrigation

Gravity Dams and Spillways Water Requirement of Crops

Engineering Mechanics

Equilibrium of Force Systems Work Energy Principle and Impulse Momentum Equation

Geomatics Engineering Or Surveying

Levelling Theodolites and Plane Table Surveying Curves Field Astronomy and Photogrammetric Surveying Traversing Measurement of Area, Volume and Theory of Errors and Survey Adjustment Basics of GIS, GPS and Remote Sensing Basic Concepts Linear Measurements and Chain Survey Angular Measurements and Compass Survey