Download BBA IInd SEMESTER EXAMINATION 2008-09

BCA III (Third) Semester Examination 2014-15
Course Code: BCA301
Paper ID: 0833201
Computer Based Numerical Analysis and Statistical Techniques
Time: 3 Hours
Max. Marks: 70
Note: Attempt six questions in all. Q. No. 1 is compulsory.
1.
a)
b)
c)
d)
e)
Answer any five of the following (limit your answer to 50
words).
(4x5=20)
State the scope and use of Computer Based Numerical
analysis And Statistical Techniques.
Solve the following system of equations using Gauss – Seidel
method: 10x + y + z = 12,
2x + 10y + z = 13,
2x + 2y + 10z = 14.
What do you understand by rate of convergence of a method
to find out the root of an equation?
What is Interpolation? Differentiate between Newton’s
forward and backward interpolation formulae.
E By using Newton – Divided Difference formula, calculate
f(3) from the following data:
x
0
1
2
4
5
6
f
f)
g)
h)
1
14
15
5
6
19
1
Evaluate the integral ∫ 0 x2 / (1 + x3) dx using
Simpson’s 1 /3rd rule.
Discuss the Central difference formulae for interpolation.
What do you know about central Tendency?
2.
Apply Gauss – Jordan method to solve the equations :
x + y + z = 9, 2x – 3y + 4z = 13, 3x + 4y +5z = 40.
(10)
3.
Find a root of the equation x3 – 4x – 9 = 0, using the
Bisection method correct to three decimal places.
(10)
4.
Find a root of the equation cos x = xex, using the Regula –
Falsi method correct to four decimal places.
(10)
5.
By using Lagrange’s method of interpolation, Find the
polynomial P(n) of degree two such that: P(1) = 1, P(3) = 27,
P(4) = 64.
(10)
6.
Apply Iteration method to find the negative root of the
equation x3 – 2x + 5 = 0, correct to four decimal places. (10)
7.
Evaluate ∫60 dx / (1 + x2) using Trapezoidal Rule.
8.
Write down the principle of least squares method for curve
fitting.
(10)
(10)