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F192047 Pages:2

PART ட்‌
Answer any two full questions, each carries 20 marks.

Using Newton-Raphson find a real root of the equation e~* = 3 lag x. (10)

Develop a program to fit a linear model (straight line) to a given set of data using (10)
linear regression equations.

Fit a 2™ degree polynomial of the form y = a +b x +c x? to the following 0४4. (10)

x -3 -2 | -1 | 0 | 1 | 2 3

Develop a 274 degree polynomial (parabola) relationship connecting R and V

using the method of least squares.

Develop a program to solve transcendental equation using Regula falsi method (10)
method.

Evaluate the following integral using 2 point and 3 point Gauss quadrature and (10)

compare the results.

i= (ಧಾರಾ
1 ‏م)‎ + 1) 75
Gauss points for n=2 are 0.5773, -0.5773 and weights are 1.0, 1.0
Gauss points for n=3 are -0.7746, 0.0, 0.7746 and weights are 0.5556, 0.8889 and
0.5556.
Demonstrate the finite difference method of numerical solution of partial
927 927

differential equations for the case of a Laplace equation given by 22 + ay? 0

(10)

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