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Get Full Access to Numerical Analysis - 10 Edition - Chapter 3.2 - Problem 3
Get Full Access to Numerical Analysis - 10 Edition - Chapter 3.2 - Problem 3

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# Use Neville's method to approximate \/3 with the following functions and values. a. /(x)

ISBN: 9781305253667 457

## Solution for problem 3 Chapter 3.2

Numerical Analysis | 10th Edition

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Problem 3

Use Neville's method to approximate \/3 with the following functions and values. a. /(x) 3 X and the values xq = 2, xj = I, X2 0, X3 1, and X4 2. b. /(x) = ^/x and the values xq = 0, xi = I, X2 = 2, X3 = 4, and X4 = 5. c. Compare the accuracy ofthe approximation in parts (a) and (b).

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March 21­25, 2016 Section 3.2 Suppose f’(x) >0 for all x on an open interval I. Suppose x < x i1 I. 2 en f(x) is continuous on [x1 x2] and it is differentiable on (x 1 x 2 2 x ¿ So by Mean Value Theorem there is c ¿ f( )1f ¿ ' ϵ ( 1x S2)hthen f (c)=¿ Which implies Thus f(x)< 0 is increasing on I. By similar arguments, we can show that f’(x)< 0 on an open interval f is decreasing on I. And if f’(x)=0 on an open interval I, then f(x) is constant on I. Theorem If f’(x)=

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##### ISBN: 9781305253667

Since the solution to 3 from 3.2 chapter was answered, more than 327 students have viewed the full step-by-step answer. Numerical Analysis was written by and is associated to the ISBN: 9781305253667. The answer to “Use Neville's method to approximate \/3 with the following functions and values. a. /(x) 3 X and the values xq = 2, xj = I, X2 0, X3 1, and X4 2. b. /(x) = ^/x and the values xq = 0, xi = I, X2 = 2, X3 = 4, and X4 = 5. c. Compare the accuracy ofthe approximation in parts (a) and (b).” is broken down into a number of easy to follow steps, and 66 words. This textbook survival guide was created for the textbook: Numerical Analysis, edition: 10. This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 1204 solutions. The full step-by-step solution to problem: 3 from chapter: 3.2 was answered by , our top Math solution expert on 03/16/18, 03:24PM.

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