Dr Babasaheb Ambedkar Marathwada University 2010-2nd Sem B.Sc Computer Science .(ester) /Faculty of Science//(Numerical Computation Method) - Question Paper

FACULTY OF SCIENCE

B.Sc.(second semester) exam

MARCH/APRIL,2010

COMPUTER SCIENCE

Paper-306BT

(Numerical calculation Method)

(Friday,30-4-2010)


Time--1 & 1/2 Hours(90 Minutes) Maximum Marks-30

"Please check whether you have you got the right ques. paper."

N.B.:- (i) All ques. carry equal marks.


1. Attempt any 1 from (a) or (b) :

(a) define taxonomy of fault in detail. (Marks 10)

(b) provided the table of values. obtain the value of y at x = 2.5

using Lagrange's interpolation. (Marks 10)

x y

0 0

one 2

two 8

three 27

2. Attempt any 1 from (a) or (b) :

(a) Write an alogrithm for Gauss-Elimination Method. (Marks 10)

(b) Solve by using Gauss-Elimination Method : (Marks 10)

2x + 3x + 5x = 23
one two 3

3x + 4x + x = 14
one two 3

6x + 7x + 2x = 26
one two 3

3. Attempt any 1 from (a) or (b) :

(a) obtain the root of formula x sin x + cos x = 0 by using
Bisection Method. Consider x = 3, x = four and M.A.E. = 0.001.
0 1
(Marks 10)

3
(b) obtain the root formula x - 4x - nine = 0 using False Position Method by taking x = 1, x = three and M.A.E. = 0.001.
0 1
(Marks 10)

Earning:   Approval pending.