COMPUTER SCIENCE 2MCA-6 : Computational ... - Surana college

pc - 708 -2- llillilllffllillllillllllllilllll
Answer any two full questions :
PART _ B
(2x15=30)
2. a) Use Newton Raphson method to find ffi
conect to 3 decimal places. 5
b) Find the real root of the equation cos x : 3x - I correct to 3 decimal places using
Regula-falsi method lying between 0 and 1. 5
c) Using Bisection method find the root of the equation x log,o x -1.2
that lies
between 2 and3 car-ry out 5 iterations. 5
3. a) Using Graeffs root squaring method solve the equation x3 -3*- 6x + 8 : 0. 10
b) Find a root of (x) : e" - 3xzby fixed point iteration method. Choose the initial
approximation as zero. 5
4. a) Solve the following system of equations by LU decomposition method
2xr* xz* 4Xr: 12, 4xr* 11x, - x, : 33, 8", - 3xr+ 2xr:20. 8
b) Solve the following equations by relaxation method.
5x-y -z- 3, -X+ 10y -22:7,-x-y+ 102:8. 7
PART - C
Answer any two fulI questions :
5. a) Find the dominant eigen value and the corresponding eigen vector of the matrix
Io-2 zf
n=l-z 3 -rl
^:l- J ' : I using Rayleigh powermethod carry out 5 iterations. 7
L z- -l 3l
b) UsingNewton's Divided Difference formula find f(2) given
x: 0 | 4 8 10
f(x): -5 -r4 -r25 -21 355 8