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Answer: Use the Newton backward-difference formula to construct interpolating

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

Solution for problem 5 Chapter 3.3

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 5

Use the Newton backward-difference formula to construct interpolating polynomials of degree one, two, and three for the following data. Approximate the specified value using each ofthe polynomials. a. /(1/3) if /(0.75) = -0.07181250, /(-0.5) = -0.02475000, /(-0.25) = 0.33493750, /(0) = 1.10100000 b. /(0.25) if /(O.I) = -0.62049958, /(0.2) = -0.28398668, /(0.3) = 0.00660095, /(0.4) = 0.24842440

Step-by-Step Solution:
Step 1 of 3

MATH121 CHHA APPTTEER R4NOOT TEESS Lesson4.5–CombiningFunctions EXAMPLE1. Find(f°g)(2),whenf(x)=x +1andg(x)=x +x . 3 2 (First,weneedtofindthefunctiong(2).) g(2)=2 +2 =12 (Now,substitutethevalue12inforxinthe functionf(x).) f(12)=12 +1=145 (f°g)(2)=145

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Chapter 3.3, Problem 5 is Solved
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Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

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Answer: Use the Newton backward-difference formula to construct interpolating