Master of computer application I (Science) Examination: Oct/Nov
2016 Semester II (Old CGPA)
SLR No. Day
Date Time Subject Name Paper
No. Seat No.
SLR U
13
Tuesday
22/11/2016
10.30 AM
To
01.00 PM
Numerical Analysis
C

Instructions: Question no. 1 2 are compulsory
Attempt any three questions from Q. No. 3 to Q. No. 7
Figures to the right indicate full marks.
Use of calculator is allowed
Total Marks: 70
Q.1 Fill in the blanks 10
The no. of different polynomials that can go through two fixed data points
y1) y2) is
Power method used to find
The process of computing the values of the given range called
extrapolation.
The value E ∇
Error in Simpson's 3/8 rd Rule is

State true or false 04
The effect of the error decreases with the order of the difference.
The algebric sum of the error in any difference column is zero.
The Gauss Seidal method is iterative method.
They convergence in bisection method is very slow.
Q.2
Prove that
Define rate of convergence
If the no. x=0.51 is correct to two decimal unit then find Absolute error
Relative error.
State Taylor's series expansion for a function of several variables
04
03
04
03
Q.3 Explain Bisection method.
If then prove that … xr]
07
07
Q.4 Apply Lagrange's method to find a cubic polynomial which approximate the
following data
x 2 3
-12 3 5
Derive Newton's divided difference interpolation formula.
07
07
Page 1 of 2
Q.5 Use Gauss elimination to solve
10x y z 12
2x 10y z 13
x 3z 5
Find the largest eigen value corresponding eigen vector of the matrix
07
07
Q.6
Explain simpson's Rule
Use secant method to determine the root of equation x3 2x 5 0
07
07
Q.7 Derive Newton's backward difference interpolation formula.
Evaluate I dx using Simpson's with h
07
07