GATE CE 2005 | Numerical Methods Question 18 | Engineering Mathematics

GATE CE 2005

MCQ (Single Correct Answer)

-0.6

Given $$a>0,$$ we wish to calculate its reciprocal value $${1 \over a}$$ by using Newton - Raphson method for $$f(x)=0.$$ For $$a=7$$ and starting with $${x_0} = 0.2\,\,$$ the first two iterations will be

$$0.11,$$ $$0.1299$$

$$0.12,$$ $$0.1392$$

$$0.12,$$ $$0.1416$$

$$0.13,$$ $$0.1428$$

GATE CE Subjects

Construction Material and Management

Critical Path Method Construction Materials Program Evolution Review Technique

Geomatics Engineering Or Surveying

Angular Measurements and Compass Survey Basic Concepts Linear Measurements and Chain Survey

Engineering Mechanics

Work Energy Principle and Impulse Momentum Equation Equilibrium of Force Systems

Hydrology

Evaporation and Transpiration Precipitation and Frequency of Rainfall Data

Transportation Engineering

Highway Geometric Design Highway Devolopment and Planning

Strength of Materials Or Solid Mechanics

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

Reinforced Cement Concrete

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

Steel Structures

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

Irrigation

Water Requirement of Crops Gravity Dams and Spillways

Environmental Engineering

Sources and Coveyances Water Water Demand Quality Control of Water

Engineering Mathematics

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

Structural Analysis

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

Geotechnical Engineering

Origin of Soils Definitions and Properties of Soils

Fluid Mechanics and Hydraulic Machines

Properties of Fluids Fluid Statics

General Aptitude

Verbal Ability Numerical Ability