Exam Details
| Subject | Computer Oriented Numerical Techniques | |
| Paper | ||
| Exam / Course | Bachelor of Computer Applications | |
| Department | School of Computer and Information Sciences (SOCIS) | |
| Organization | indira gandhi national open university | |
| Position | ||
| Exam Date | December, 2015 | |
| City, State | new delhi, |
Question Paper
What is meant by absolute and relative errors Explain each with suitable example.
Find the approximate value, correct to three decimal places, of the real root which lies between and-3 of the equation x^3 -3x 4 using the method of Regula-Falsi.
Find a real root of the equation x^3 -2x by using the method of Bisection, correct to three decimal places.
Find a real root of the equation x^3 -3x 0 by using the method of Regula-Falsi, correct to three decimal places.
Find a real root of the equation x sin x cos x 0 by using the method of Newton-Raphson, correct to three decimal places.
Show that a ab where a 0·5555 x b 0·4545 x 10^1 and c 0·4535 x 10^1
Find a real root of the equation x^3 x 0 by using the method of Bisection, correct to three decimal places.
Compute a root of the equation x^2 -3x 2 lying between 0 and 1·5 by using the method of Newton-Raphson, correct to three decimal places.
In the table below, the values of y are consecutive terms of a series of which the number 21·6 is the 6th term. Compute the tenth term of the series by the method of Newton's interpolation formula.
x 3 4 5 6 7 8 9
y 2·7 6·4 12·5 21·6 34·3 51·2 72·9
Using Lagrange's interpolation formula, find the form of the function from the following table. Hence compute f(2·5).
x 2 3 4
11 49 123
Given dy with y=1 for x =0. dx y+x Find y approximately for x 0·1 by Euler's method (five steps).
If then show that
1/abcd
Solve the following system of equations by Cramer's rule:
3x+2y+3z =16
x+4y+9z=36
Solve the following system of equations by Gauss-Elimination method:
10x1+x2+x3
x1+ 10x2 +x3
x1+x2+10x3=6
Solve the following system of equations by Gauss-Seidel Iteration
x1+9x22x3=36
2xl-x2+8x3=121
6xl x2 x3 =107
Find an approximate value of the root of the equation
x^3 x near x
using the method of Regula-Falsi, correct to three decimal places.
The velocities of a car (running on a straight road) at intervals of 2 minutes are given below
Time in minutes 0 2 4 6 8 10 12
Velocity in km/hr 0 22 30 27 18 7 0
Apply Simpson's 1/3rd rule to find the distance covered by the car.
Use the Runge-Kutta fourth order method to find the value of y when x =0·2, given that y when x =0. Given that
dy/dx
Find the approximate value, correct to three decimal places, of the real root which lies between and-3 of the equation x^3 -3x 4 using the method of Regula-Falsi.
Find a real root of the equation x^3 -2x by using the method of Bisection, correct to three decimal places.
Find a real root of the equation x^3 -3x 0 by using the method of Regula-Falsi, correct to three decimal places.
Find a real root of the equation x sin x cos x 0 by using the method of Newton-Raphson, correct to three decimal places.
Show that a ab where a 0·5555 x b 0·4545 x 10^1 and c 0·4535 x 10^1
Find a real root of the equation x^3 x 0 by using the method of Bisection, correct to three decimal places.
Compute a root of the equation x^2 -3x 2 lying between 0 and 1·5 by using the method of Newton-Raphson, correct to three decimal places.
In the table below, the values of y are consecutive terms of a series of which the number 21·6 is the 6th term. Compute the tenth term of the series by the method of Newton's interpolation formula.
x 3 4 5 6 7 8 9
y 2·7 6·4 12·5 21·6 34·3 51·2 72·9
Using Lagrange's interpolation formula, find the form of the function from the following table. Hence compute f(2·5).
x 2 3 4
11 49 123
Given dy with y=1 for x =0. dx y+x Find y approximately for x 0·1 by Euler's method (five steps).
If then show that
1/abcd
Solve the following system of equations by Cramer's rule:
3x+2y+3z =16
x+4y+9z=36
Solve the following system of equations by Gauss-Elimination method:
10x1+x2+x3
x1+ 10x2 +x3
x1+x2+10x3=6
Solve the following system of equations by Gauss-Seidel Iteration
x1+9x22x3=36
2xl-x2+8x3=121
6xl x2 x3 =107
Find an approximate value of the root of the equation
x^3 x near x
using the method of Regula-Falsi, correct to three decimal places.
The velocities of a car (running on a straight road) at intervals of 2 minutes are given below
Time in minutes 0 2 4 6 8 10 12
Velocity in km/hr 0 22 30 27 18 7 0
Apply Simpson's 1/3rd rule to find the distance covered by the car.
Use the Runge-Kutta fourth order method to find the value of y when x =0·2, given that y when x =0. Given that
dy/dx
Other Question Papers
Departments
- Centre for Corporate Education, Training & Consultancy (CCETC)
- Centre for Corporate Education, Training & Consultancy (CCETC)
- National Centre for Disability Studies (NCDS)
- School of Agriculture (SOA)
- School of Computer and Information Sciences (SOCIS)
- School of Continuing Education (SOCE)
- School of Education (SOE)
- School of Engineering & Technology (SOET)
- School of Extension and Development Studies (SOEDS)
- School of Foreign Languages (SOFL)
- School of Gender Development Studies(SOGDS)
- School of Health Science (SOHS)
- School of Humanities (SOH)
- School of Interdisciplinary and Trans-Disciplinary Studies (SOITDS)
- School of Journalism and New Media Studies (SOJNMS)
- School of Law (SOL)
- School of Management Studies (SOMS)
- School of Performing Arts and Visual Arts (SOPVA)
- School of Performing Arts and Visual Arts(SOPVA)
- School of Sciences (SOS)
- School of Social Sciences (SOSS)
- School of Social Work (SOSW)
- School of Tourism & Hospitality Service Sectoral SOMS (SOTHSM)
- School of Tourism &Hospitality Service Sectoral SOMS (SOTHSSM)
- School of Translation Studies and Training (SOTST)
- School of Vocational Education and Training (SOVET)
- Staff Training & Research in Distance Education (STRIDE)
Subjects
- ANALYSIS AND DESIGN OF ALGORITHM
- Basics Mathematics
- BUSINESS COMMUNICATION
- C' Programming and Data Structure
- C++ and Object Oriented Programming
- Computer Basics and PC Software
- Computer Fundamentals and PC Software
- Computer Networks
- COMPUTER ORIENTED NUMERICAL TECHNIQUES
- E-COMMERCE
- Foundation Course in English for Computing
- Foundation Course in Mathematics in Computing
- FUNDAMENTAL OF COMPUTER NETWORKS
- Intranet Administration
- Introduction to Computer Organisation
- Introduction to Internet Programming
- INTRODUCTION TO SOFTWARE ENGINEERING
- Introduction to System Software
- Multimedia
- NETWORK PROGRAMMING AND ADMINISTRATION
- PC Software Skills
- Programming In C++
- STATISTICAL TECHNIQUES
- TCP/IP PROGRAMMING
- Theory of Computer Science
- WEB PROGRAMMING