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

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 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

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Engineering Mathematics

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

Machine Design

Design For Static Loading Design of Spur Gears

Theory of Machines

Flywheel Analysis of Plane Mechanisms

Heat Transfer

Heat Exchangers Fin Design and Transient Heat Conduction Conduction Radiation

Fluid Mechanics

Laminar Flow Turbulent Flow Fluid Statics Fluid Kinematics Fluid Dynamics

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

Joining of Materials

Welding

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Advance Machine Tools Machining Metal Cutting

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Metrology and Inspection

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Inventory Control Forecasting Pert and Cpm Line Balancing Queuing

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Engineering Mechanics Static and Dynamics

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Entropy and Irreversibility

Casting

Casting Process

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Metal Forming Process Sheet Metal Forming Processes