Bengal Engineering and Science University 2006 B.E Electrical Engineering Numerical Methods and Computer Programming - Question Paper
The ques. paper is with the attachment in pdf format.
Ex/BESUS/ EE- 605/ 06
B.E. (EE) Part-Ill 6th Semester Examination, 2006
Numerical Methods and Computer Programming (EE-605)
Full Marks : 100
Time : 3 hours
Use separate answerscript for each half. Answer SIX questions, taking THREE _ from each half. Two marks are reserved for neatness in each half.
FIRST HALF
1. a) Apply Newton-Raphson method to find one positive root greater than 1.0 of
f (x) = 3x + sinx - ex = 0 Take |f(x)| < 0.0001 b) Discuss the convergence characteristics of Newton-Raphson method.
[10+6]
2. a) Develop an algorithm for synthetic division of a polynomial, b) Determine the second remainder of
by synthetic division. Verify it with remainder theorem.
[8+8]
3. a) What do you mean by direct method and iterative method of solution of a set of linear algebraic equations. b) Find the inverse of the following coefficient matrix using Gauss-Jordan method and solve the equations. Show the intermediate steps.
[4+(8+4)J
|
1 |
2 |
-3 |
-4 | |
|
1 |
3 |
1 |
rx/"! I'M |
10 |
|
2 |
4 |
-2 |
-12 |
4. a) What are interpolation and least squares methods?
b) Fit a second-order polynomial to the following data using least squares method.
61.1
|
2.1 |
7.7 |
13.6 27.2 40.9 | |
|
X; 0 |
1 | ||
5. a) Derive the formula for integral of a function using trapezoidal rule.
b) Evaluate the integral of the function with the following tabulated data over the interval from x= 1.8 to x = 3.0.
|
X |
1.8 |
2.0 |
2.2 |
2.4 |
2.6 |
2.8 |
3.0 |
|
f(x) |
6.050 |
7.389 |
9.025 |
11.023 |
13.464 |
16.445 |
20.086 |
6. a) What are the outputs of following two programs? Give justification of each answer.
i) int main () { int x,y; x= 1 2; y=0; x++; ++x; x = -l; y% = (x-l); printf("%f\n", y); return 0; }
ii) int main() { unsigned int p=-30; if(p>0) printf("Positive"); else printf("Negative"); return 0; }
b) Develop a prime function to check whether a number is prime or not. Then discuss how that C code can be used to create a header and library. [4+4+8]
7. a) Write a function to exchange the values of two variables. Discuss the program
|
in brief. b) Write a C program to compute c = a + b*d2 numbers and k is a constant number. |
+ k, where a, b, c, d are complex [8+8] |
8. a) Write a short note on the salient features of UNIX/LINUX operating system.
b) Discuss about the file system permission and security mechanism in UNIX/
LINUX environment.
[6+10]
9. a) How > is different from operator in case of UNIX shell?
b) Discuss about pipe and filter of UNIX/LINUX operating system with appropriate examples.
c) How can you run a program as a background process? Then show, how to monitor the execution and terminate the program in case of emergency?
[8+8]
10. Write short notes on a, b, c below : [4x4]
a) UNIX/LINUX is a case sensitive silent operating system
b) Functions in C
c) chmod command in UNIX/LINUX
d) Fill up the blanks
i) ar is an_.
ii) kill is used to_ .
iii) A valid c variable name must be started with
iv) chown is used to_.
|
Attachment: |
| Earning: Approval pending. |
