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TAMIL NADU OPEN UNIVERSITY MCA - I (SEM 2) JAN 2009 : Computer Oriented Numerical Method

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Wk 13 MCA 133 MCA-08 M.C.A. DEGREE EXAMINATION JANUARY 2009. Second Semester/First Year COMPUTER ORIENTED NUMERICAL METHODS Time : 3 hours Maximum marks : 75 Answer for 5 marks question should not exceed 2 pages. Answer for 10 marks questions should not exceed 5 pages. PART A (5 5 = 25 marks) Answer any FIVE questions. 1. Describe the different types of errors. 2. Find the positive root of f ( x ) 2x 3 3 x 6 0 by Newton-Raphson method correct to 4 decimal places. 3. Describe the bisection method. Wk 13 4. Solve the system of equation by Gauss-Jordan method. ; ; x 2y z 3 2x 3 y 3z 10 . 3x y 2z 13 5. Show by Jacobi iteration : 14 x1 x1 3x 2 5x 2 8 11. 6. Find the Cubic polynomial which takes the following values : y(0) 1, y(1) 7. 1 and y(3) 10 . 0, y(2) Derive the Trapezoidal rule. PART B (5 10 = 50 marks) Answer any FIVE questions. 8. Assuming that a root of x 3 9 x 1 0 lies in the interval (2, 4) find the root of Bisection method. 9. Solve by Gauss-Elimination method : 3x 4 y 5z 18 ; 2x 5x 2 y 7z 20 . y 8z 13 ; 10. Solve by Gauss-Seidel method, the following system : 28x 4 y z 32 ; x 3 y 10z 2x 17 y 4z 35 . 2 24 ; MCA 133 Wk 13 11. .10 The table below gives the values of tan x for x 30 . x: 0.10 0.15 0.20 0.25 0.30 y tan x : 0.1003 0.1511 0.2027 0.2553 0.3093 Find : (a) tan 0.12 (b) tan 0.26. 1 12. Evaluate I 0 dx 1x 2 with h (a) 13. y Trapezoidal rule (b) Simpson s 1 by 6 1 rule. 3 Compute y for 2x y ; y(0) 1 . y x 0.2 14. Find the positive root of x 3 Position Method. and 2x 0.4 given 5 by False 3 MCA 133

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Additional Info : Mca - I (sem 2) January 2009 Question Paper - Computer Oriented Numerical Method
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