# Devi Ahilya University 2009 B.Sc Computer Science Part II(3 Y.D.C.) - Question Paper

Sunday, 20 January 2013 02:55Web

2009

B.S

**c.**

**(3 Y.D.C.) exam**

**Part I**ICOMPUTER SCIENCE

PAPER II

CPN - 22 : Computer Oriented Numerical Methods

**Time :**3 Hours

Ma

**x.**

**Marks :**50

Note : ans all 5 ques.. All ques. carry equal marks. ans must be to the point.

The blind candidates will be provided 60 minutes extra time.

**1.**Derive the formula for Newton-Raphson method giving Geometrical Interpretation. obtain a root

and accurate it to 4 decimal places of the subsequent formula x^x = 1000 using Newton-

Raphson method.

Or

**(**Write a program for Secant Method.

**a)****(**Write a program for Bisection method.

**b)****2.**Solve the subsequent system of equations by Gauss-Seidal method :

27x+6y-z = 85

6x+15y+2z = 72

x+y+54z = 110

Or

**(**Write a program for Gauss Elimination method.

**a)****(**obtain the inverse of subsequent matrix by Triangularization method :

**b)**50 107 36

25 54 20

31 66 21

**3.**Using Rnge-Kutta 4th order method to solve :

dy/dx = 1+y^2 where y(0) = 0 at x= 0.2.

Or

**(**Write a program for Trapezoidal Rule.

**a)****(**Write an Algorithm for the Euler's Method.

**b)****4.**From the subsequent table obtain the number of learner who found

**(**less than 45 marks

**a)****(**

**b)**more than 45 marks :

Marks found : 30-40 40-50 50-60 60-70 70-80

No. of Students 31 48 56 35 31

Or

**(**e^x = (?^2/E)e^x.Ee^x/?^2e^x

**a)****(**Write an algorithm for Lagrange's Interpolation.

**b)****5.**Fit a 2nd degree parabola with the use of subsequent table :

x : one two three four 5

y : 1090 1220 1390 1625 1916

Or

**(**Write a program to fit a linear curve.

**a)****(**Write an algorithm to fit the curve of the form y = ax^b.

**b)**Earning: Approval pending. |