GATE PI 2009 | Numerical Methods Question 6 | Engineering Mathematics

GATE PI 2009

MCQ (Single Correct Answer)

-0.3

During the numerical solution of a first order differential equation using the Euler (also known as Euler Cauchy) method with step size $$h,$$ the local truncation error is of the order of

$${h^2}$$

$${h^3}$$

$${h^4}$$

$${h^5}$$

GATE PI 2005

MCQ (Single Correct Answer)

-0.3

For solving algebraic and transcendental equation which one of the following is used?

Coulomb's theorem

Newton - Raphson method

Euler's method

Stoke's theorem

GATE PI 2005

MCQ (Single Correct Answer)

-0.3

Newton $$-$$ Raphson formula to find the roots of an equation $$f(x)=0$$ is given by

$${X_{n + 1}} = {X_n} - {{f\left( {{X_n}} \right)} \over {{f^1}\left( {{X_n}} \right)}}$$

$${X_{n + 1}} = {X_n} + {{f\left( {{X_n}} \right)} \over {{f^1}\left( {{X_n}} \right)}}$$

$${X_{n + 1}} = {{f\left( {{X_n}} \right)} \over {{X_n}{f^1}\left( {{X_n}} \right)}}$$

$${X_{n + 1}} = {{{X_n}f\left( {{X_n}} \right)} \over {{f^1}\left( {{X_n}} \right)}}$$

GATE PI Subjects

Engineering Mechanics

Engineering Mechanics Static and Dynamics

Strength of Materials

Pure Bending Shear Force and Bending Moment Complex Stresses Simple Stress and Strain Deflection of Beams Thin Cylinders

Theory of Machines

Analysis of Plane Mechanisms Flywheel

Engineering Mathematics

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

Machine Design

Design For Static Loading Design of Spur Gears

Fluid Mechanics

Fluid Statics Laminar Flow Fluid Dynamics Turbulent Flow Fluid Kinematics

Heat Transfer

Fin Design and Transient Heat Conduction Radiation Conduction Heat Exchangers

Thermodynamics

Entropy and Irreversibility

Casting

Casting Process

Joining of Materials

Welding

Metal Forming

Sheet Metal Forming Processes Metal Forming Process

Machine Tools and Machining

Metal Cutting Advance Machine Tools Machining

Metrology

Metrology and Inspection

Industrial Engineering

Inventory Control Line Balancing Queuing Forecasting Pert and Cpm