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TAMIL NADU OPEN UNIVERSITY MCA - I (SEM 2) JUN 2008 : Computer Oriented Numerical Method

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Wk 6 MCA 648 MCA-08 M.C.A. DEGREE EXAMINATION JUNE 2008. First Year/Second Semester COMPUTER ORIENTED NUMERICAL METHODS Time : 3 hours Maximum marks : 75 Answer for 5 marks questions should not exceed 2 pages. Answer for 10/15 marks questions should not exceed 5 pages. PART A (5 5 = 25 marks) Answer any FIVE questions. 1. Explain Secant method for solving non-linear equations. 2. Derive the iterative formula to compute the square root of a positive number. 3. Compare direct and iterative methods to solve the system of Linear Equations. Wk 6 4. Solve by Cramer s rule : x 4y 2x y 5 . 1 5. What is inverse interpolation? Explain. 6. Explain the principle of least squares. 7. Write the formula of R-K methods upto Fourth Order. PART B (5 10 = 50 marks) Answer any FIVE questions. 8. Find a root of the equation x log10 x Newton s method. 9. Find a root of the equation, by bisection method : cos x 1 . 3x 10. 1.2 by Solve the system of equations. 10 x y z 12 x 10 y z 12 x y 10 z 12 , by Gauss Eliminatio n Method. 2 MCA 648 Wk 6 11. Solve by Gauss-Seidel method : 10 x 5 y 2z 4 x 10 y 3 z x 6 y 10 z 3 3 3. 12. Using Lagrangels formula, fit a polynomial to the following data. x -1 0 2 3 y -8 3 1 12 Hence find y (1). 13. 6 Evaluate 0 dx 1 x2 by Simpson s 1/3 rule and 3 / 8 rule. y2 x 2 for x 0.2, 0.4 given y(0) 1 , y2 x 2 using R-K method of fourth order. 14. Solve dy dx 3 MCA 648

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Additional Info : Mca - I (sem 2) June 2008 Question Paper - Computer Oriented Numerical Method
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