Sikkim-Manipal University of Health Medical and Technological Sciences (SMUHMTS) 2009 B.C.A Computer Application BC0043 Computer oriented numerical methods Assignment - Question Paper

August 2009

Bachelor of Computer Application (BCA) Semester 3

BC0043 Computer oriented numerical methods 4 Credits
(Book ID: B0804)

 

Each Question Carries 10 Marks 10 X 6 = 60 Marks

 

 

Book ID: B0804

1. Find the truncation error in the result of the following function for when we use

i) first three terms

ii) first four terms

iii) first five terms

 

2. Solve the following system of equations by Gauss-Elimination method

x + y + z = 9

x 2y + 3z = 8

2x + y z = 3

 

3. By using Newtons Raphsons method find the positive root of the quadratic equation

5x² + 11x 17 = 0 correct to 3 significant figures.

 

4. A civil engineer has measured the height of a 10 floor building as 2950 cms and the working height of each beam as 35cms while the true values are 2945cms and 30cms respectivelly. Compare their absolute and relative errors.

 

 

 

5. Use Jacobis method to find the solution to the following system of equations

83x + 11y 4z = 95

7x + 52y + 13z = 104

3x + 8y + 29z = 71

 

6. Solve by bisection method so that the root lies between 2 and 4.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

August 2009

Bachelor of Computer Application (BCA) Semester 3

BC0043 Computer oriented numerical methods 4 Credits
(Book ID: B0804)

Each Question Carries 10 Marks 10 X 6 = 60 Marks

 

 

Book ID: B0676

1. An approximate value of p is given by 3.1428571 and its true value is 3.1415926. Find the absolute and relative error

2. Find the inverse of the matrix .

3. Solve by Gauss elimination method

2x + y + 4z = 12

4x + 11y z = 33

8x 3y + 2z = 20

4. Apply Cayley-Hamilton theorem and compute the inverse of the matrix .

5. Use the method of iteration to determine the real root of the equation correct to four decimal places.

6. Find the Newtons difference interpolation polynomial for the following data:

x	0.1	0.2	0.3	0.4	0.5
f(x)	1.40	1.56	1.76	2.00	2.28