Cs 71 ignou

Can you provide me previous year question paper of CS-71 : Computer Oriented Numerical Techniques under Bachelor in Computer Applications program offered by IGNOU?

[pawan]

The previous year question paper of CS-71 : Computer Oriented Numerical Techniques under Bachelor in Computer Applications program offered by IGNOU is as follows:

Bachelor in Computer Applications

CS-71: Computer Oriented Numerical Techniques

Time: 3 hours

Maximum Marks: 75

Note: Question number 1 is compulsory. Attempt any three from question number 2 to 5. Calculator is allowed.

1. (a) Solve the quadratic equation 6x5=30 x2+ 9.9x — 1=0 using two decimal digit floating arithmetic with rounding.
(b) Evaluate f(x)=x3/x-sinx when x=.12 x 10-10using two digit arithmetic.
(c) Perform three iterations using Gauss Seidal for following system of equation rounded to 4 decimal
—8 1 1 x11
1 —5 —1 x2= 16
1 1 —4 x37
(d) Find f'(x),given fo,f1,f2at x0,x1,x2respectively. Using lagrange interpolation.
(e) Evaluate symbol0.40.2(sin x — lnx + ex)dx using Trapezoidal rule,h= 0.1.
(f) Perform three iterations to find root of the equation x3— 3x —5 =0 by Newton Raphson method.


2. (a) Find real root of the equation f(x)=x3— x— 1 =0 using Bisection Method in 4 iterations. 3x5=15
(b) Solve the following system of equation by Gauss Elimination method
4x1+ x2+ x3= 4
x1+4x2— 2x3=4
3x1+2x2- 4x3= 6
(c) Find lagrange Interpolating polynomial for the following data :
x 1/4 1/3 1
f(x) -1 2 7


3. (a) Find root of the equation f(x)=x3— 2x — 5=0 using Regula Falsi method correct to 2 decimal places. 3x5=15
(b) Perform three iteration of Jacobi method for following system of equation.
5 —1 —1 —1 x1—4
—1 10 —1 —1 x212
—1 —1 5 1 x38
—1 —1 —1 10 x434
starting with X= (0,0,0,0).
(c) Solve symbol01dx/1+x using Simpson 1/3rule,h=1/2.


4. (a) Use Taylor Series method recursively to solve y'=x2+ y2,y(0)=0 for the interval (0,0.4),Using subinterval of size 0.2. 3x5=15
(b) Find cubic polynomial which takes y(0) =1,y(1)=0,y(2) =1,y(3) =10 and hence find y(4) by Newton Forward Difference for Interpolation.
(c) Perform two iteration of Newton Raphson method on the quadration equation x4— 4x2+ 4=0,xo=1.5. It has double root.


5. (a) Evaluate symbol15f(x)dx using Simpson 1/3 rule on following data. 3x5=15
x 1 2 3 4 5
f(x) 13 15 70 80 100
(b) Given dy/dx=y — x,y(0)=2. Find y(0.1) and y(0.2) using Runge Kutta method of second order,correct to 4 decimal places.
(c) Solve y'=—y with y(0)=1 for x=0.04 and step length=0.01 using Euler's Method.