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Let / be defined by 'x3 +1, 0 < A" < 0.1, 1.001 + 0.03(a - 0.1) + 0.3(a - 0.1)2 + 2(x -

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

Solution for problem 15 Chapter 4.4

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 15

Let / be defined by 'x3 +1, 0 < A" < 0.1, 1.001 + 0.03(a - 0.1) + 0.3(a - 0.1)2 + 2(x - 0.1)3 , 0.1 < x < 0.2, 1.009 + 0.1 5(a - 0.2) + 0.9(a - 0.2)2 + 2(x - 0.2)3 , 0.2 < x < 0.3. f(x) = a. Investigate the continuity ofthe derivatives of /. cU b. Use the Composite Trapezoidal rule with n = 6 to approximate J0" /(x) dx and estimate the error using the error bound. c. Use the Composite Simpson's rule with = 6 to approximate /0 0 , /(x) dx. Are the results more accurate than in part (b)?

Step-by-Step Solution:
Step 1 of 3

L25 - 3 x − 1 ex. For which intervals g i(sx)= 4 increasing and x decreasing

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Chapter 4.4, Problem 15 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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Let / be defined by 'x3 +1, 0 < A" < 0.1, 1.001 + 0.03(a - 0.1) + 0.3(a - 0.1)2 + 2(x -