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KERALA UNIVERSITY MCA - II (SEM 3) MAY 2009 : Numerical Analysis And Optimization Techniques

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*1884* 1884 (Pages : 3) Reg. No. : ..................................... Name : .......................................... Third Semester M.C.A. Degree Examination, May 2009 06.303 : NUMERICAL ANALYSIS AND OPTIMIZATION TECHNIQUES Time : 3 Hours Max. Marks : 100 PART A Answer all questions. Each question carries 4 marks. 1. What are Inherent errors and Truncation errors in numerical calculations ? 2. Find the root of the equation xex 3 = 0, lies between 1 and 2, by False Position. 3. How to find the ! # by iteration ? 4. What is difference between objectives and constraints ? 5. Explain the artificial variable technique. 6. Define canonical form. 7. What is basic feasible solution ? 8. Explain significance of duality in linear programming application. 9. What is slack and surplus variables ? 10. Explain dual simplex method. (10 4=40 Marks) PART B Answer any two questions from each Module. Each question carries 10 marks. Module I 11. a) Find positive root of the equation nex = 1 between 0 and 1. b) Evaluate root of the equation x = e 2x by Newton Raphson method. P.T.O.

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