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GATE PI

Numerical Methods

Engineering Mathematics

Previous Years Questions

Marks 1

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To solve the equation $$2sinx=x$$ by Newton- Raphson method, the initial guess was chosen to be $$x=2.0.$$ Consider $$x$...
GATE PI 2016
In numerical integration using Simpson's rule, the approximating function in the interval is a
GATE PI 2015
If the equation $$sin(x)$$ $$\, = {x^2}$$ is solved by Newton Raphson's method with the initial guess of $$x=1,$$ then t...
GATE PI 2014
Using the Simpson's $$1/{3^{rd}}$$ rule, the value of $$\,\int {ydx} \,\,$$ computed, for the data given below, is ...
GATE PI 2014
During the numerical solution of a first order differential equation using the Euler (also known as Euler Cauchy) method...
GATE PI 2009
Newton $$-$$ Raphson formula to find the roots of an equation $$f(x)=0$$ is given by
GATE PI 2005
For solving algebraic and transcendental equation which one of the following is used?
GATE PI 2005

Marks 2

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The following algorithm computes the integral $$\,J = \int\limits_a^b {f\left( x \right)dx\,\,\,} $$ from the given valu...
GATE PI 2010
Matching exercise choose the correct one out of the alternatives $$A, B, C, D$$ Group $$-$$ $${\rm I}$$ $$P.$$ $${2^{nd...
GATE PI 2007
The real root of the equation $$x{e^x} = 2$$ is evaluated using Newton $$-$$ Raphson's method. If the first approximati...
GATE PI 2005

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