If is continuous in a closed interval and are of opposite signs, then the equation 0 will have at least between a and b.

Four real roots

Two real roots

One real root

Three real roots

Bisection method is also called method.

Regula Falsi method and Bisection method are somewhat similar. (True/False)

Method of successive approximation is also called method.

Newton-Raphson method is referred to as the

When an approximate value of a root of an equation is given, a better and closer approximation to the root can be found using method.

Regula Falsi method is also known as the method of false position. (True/False)

2. Find a root of the equation x^3 0 correct to four decimals using bisection method.

Solve the system of equations 3x 2x-8y 9z using Gauss elimination method.

Solve the following system by the method of triangularisation
2x-3y 10z 4y 2z 20 and 5x 2y

4. Solve by Gauss-Seidel method, the following system of equations:
28x x 3y 10z =24 and 2x 17y 4z 35.

5. Find a polynomial which takes the following values:

x1 3 5 7 9 11
yx 3 14 19 21 23 28
and hence compute yx at x 12.

6. Evaluate integral with limits to 10) by using

Trapezoidal Rule.

Simpson's 1/3 Rule.

Simpson's 3/8 Rule.

7. Solve dy/dx x Z dz/dx x y^2 with

1 to get z(0·1) and approximately, by Taylor's algorithm.

8. Explain any four of the following:

Relative Error in Numerical Computation

Linear Programming

Golden Section Search

Trapezoidal Rule

Runge-Kutta Method for 4th Order

Secant Method