## Marks 1

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...

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

Using the Simpson's $$1/{3^{rd}}$$ rule, the value of $$\,\int {ydx} \,\,$$ computed, for the data given below, is
...

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 $$2$$ ...

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...

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

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

## Marks 2

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}} \...

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

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 $$...