# Numerical Methods · Engineering Mathematics · GATE PI

Start Practice## Marks 1

GATE PI 2016

To solve the equation $$2sinx=x$$ by Newton- Raphson method, the initial guess was chosen to be $$x=2.0.$$ Consider $$x$$ in radian only. The value o...

GATE PI 2015

In numerical integration using Simpson's rule, the approximating function in the interval is a

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

If the equation $$sin(x)$$ $$\, = {x^2}$$ is solved by Newton Raphson's method with the initial guess of $$x=1,$$ then the value of $$x$$ after $$2$$ ...

GATE PI 2009

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

GATE PI 2005

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

GATE PI 2005

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

## Marks 2

GATE PI 2010

The following algorithm computes the integral $$\,J = \int\limits_a^b {f\left( x \right)dx\,\,\,} $$ from the given values $${f_j} = f\left( {{x_j}} \...

GATE PI 2007

Matching exercise choose the correct one out of the alternatives $$A, B, C, D$$
Group $$-$$ $${\rm I}$$
$$P.$$ $${2^{nd}}$$ order differential equati...

GATE PI 2005

The real root of the equation $$x{e^x} = 2$$ is evaluated using Newton $$-$$ Raphson's method. If the first approximation of the value of $$x$$ is $$...