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Numerical Methods Questions Answers - Avatto

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Numerical Methods

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Numerical Methods - Numerical Methods MCQ Home (https://www.avatto.com/) / Engineering Mathematics (/gate-exam/mathematics/questions-answers) / Numerical Methods (/gate-exam/mathematics/mcqs/numerical-methods/questions/97/1.html) / Numerical Methods MCQ (https://www.avatto.com/gate-exam/mathematics/mcqs/numericalmethods/questions/97/1.html)

1: The convergence of which of the following method is sensitive to starting value? https://www.avatto.com/gate-exam/mathematics/mcqs/numerical-methods/questions/97/1.html

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Numerical Methods Questions Answers - Avatto

A. False position B. Gauss seidal method C. Newton-Raphson method D. All of these   Answer  Report Discuss  Option: C

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2: Newton-Raphson method is used to nd the root of the equation x2 - 2 = 0.   If iterations are started from - 1, then iterations will be A. converge to -1 B. converge to √2 C. converge to -√2 D. no coverage   Answer  Report Discuss  Option: C

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3: Which of the following statements applies to the bisection method used for nding roots of functions? A. Converges within a few iterations B. Guaranteed to work for all continuous functions C. Is faster than the Newton-Raphson method D. Requires that there be no error in determining the sign of the function   Answer

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Numerical Methods Questions Answers - Avatto

 Option: B Explanation : Click on Discuss to view users comments.

4: We wish to solve x2 - 2 = 0 by Newton Raphson technique. If initial guess is x0= 1.0, subsequent estimate of x (i.e. x1 ) will be A. 1.414 B. 1.5 C. 2.0 D. None of these  Report   Answer Discuss  Option: B

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5: Using Newton-Raphson method, nd a root correct to three decimal places of the equation x3 - 3x - 5 = 0 A. 2.275 B. 2.279 C. 2.222 D. None of these   Answer  Report Discuss  Option: B

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