Numerical Analysis 2023 – BSc Computer Science Part 2

Numerical Analysis BSc Computer Science Part 2- 2023

Total No. of Questions : 8] [Total No. of Printed Pages : 4

 

Paper code: 13512
1512
B.Sc. (Computer Science) (Part 2)
Examination, 2023
Paper No. 1.3
NUMERICAL ANALYSIS

Time: Three Hours] [Maximum Marks: 50

 

Note: Attempt any five questions. All questions carry equal marks.

 

1. (a) Solve f(a) a positive root of  by ‘Regula Falsi’ method.

   (b) Find the real positive root of by Newton – Raphson method.

2. (a) Solve the following system of equations by ‘Gauss Seidel’ method.

     (b) Solve the system of equation by ‘Gauss – Jordan’ method.

3. (a) Show that :

         (i)

         (ii)

    (b) Find the 7th term of the sequence 2, 9, 28, 65, 126, 217.

4. (a) Express in factorial polynomials and get their successive forward differences, by taking h=1.

    (b) Prove that :

5. (a) From the data given below find the number of students whose weight (By Newton forward difference formula) is between 60 and 70.

Weight in lbs: 0-40 40-60 60-80 80-100 100-120
No. of Students: 250 120 100 70 50

    (b) Show that :

6. (a) Use Newton’s divided difference formula find the value of f(8) from the following table.

x: 4 5 7 10 11 13
f(x): 48 100 294 900 1210 2028

    (b) Find the first derivative of the function tabulated below at x = .6.

x: .4 .5 .6 .7 .8
f(x): 1.5836 1.7974 2.0442 2.3275 2.6511

7. (a) Evaluate :

using Trapezoidal rule with h=.2. Hence obtain an approximate value of π.

    (b) Evaluate :

using Simpson’s three eighth’s rule. 

8. (a) Using modified Euler method, find y(0.2) given:

    (b) Obtain the value of y at x=.1 using Raung -Kutta method for equation:

, given y(0) = 1

……..End……..

Thank You 🙂

Lokesh Kumar: Being EASTER SCIENCE's founder, Lokesh Kumar wants to share his knowledge and ideas. His motive is "We assist you to choose the best", He believes in different thinking.
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