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Find the approximations to within 10-4 to all the real zeros of the following

Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden ISBN: 9781305253667 457

Solution for problem 1 Chapter 2.6

Numerical Analysis | 10th Edition

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Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden

Numerical Analysis | 10th Edition

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Problem 1

Find the approximations to within 10-4 to all the real zeros of the following polynomials using Newton's method. a. f{x) = x 3 - 2x2 - 5 b. fix) = x 3 + 3x2 - I c. fix) = x 3 x 1 d. fix) = x 4 + 2x2 - x - 3 e. fix) = x 3 + 4.00lx2 + 4.002x + 1.101 f. fix) = x 5 - x 4 + 2x3 - 3x2 + x - 4

Step-by-Step Solution:
Step 1 of 3

L6 - 10  2  x − 1 Now consider g(x)= x − 1 x ▯=1  3 x =1 Sketch the graph of g(x). a) What is the domain of g b) lim g(x)= x→1 NOTE: lim f(x)=m l g(x)= x→1 x→1 but f(1) = and g(1) =

Step 2 of 3

Chapter 2.6, Problem 1 is Solved
Step 3 of 3

Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

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Find the approximations to within 10-4 to all the real zeros of the following