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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 6 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 6

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. /(0.43) if/(0) = 1, /(0.25) = 1.64872, /(0.5) = 2.71828, /(0.75) = 4.48169 b. /(0.25) if /(-I) = 0.86199480, /(-0.5) = 0.95802009, /(0) = 1.0986123, /(0.5) = 1.2943767

Step-by-Step Solution:
Step 1 of 3

1.3 & 1.4 Notes Summary 1.3 – The limit of a Function The limit tells us the behavior of the function as it approaches the limit value. For example, n lim 1+ 1 n→4( ) n As n approaches 4, we can determine the behavior the function will have. Examples: 2 lim x −x+2 =4 x→2 x−1 1 lim 2 = x→1 x −2 2 lim sin x=1 x →0 x 1.4 Calculating Limits using Limit Laws lim [ (x)+g (x)]lim f (x)+lim g(x) 1. x →a x→a x→ a 2. lim [ (x)−g (x ]=lim f (x)−lim g(x) x →a x→ a x →a lim [ f(x ]=c∗lim f (x) 3. x →a x→a lim [ (x)g x ]=lim f (x)∗lim g(x) 4. x →a x→a x→ a

Step 2 of 3

Chapter 3.3, Problem 6 is Solved
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Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

The answer to “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. /(0.43) if/(0) = 1, /(0.25) = 1.64872, /(0.5) = 2.71828, /(0.75) = 4.48169 b. /(0.25) if /(-I) = 0.86199480, /(-0.5) = 0.95802009, /(0) = 1.0986123, /(0.5) = 1.2943767” is broken down into a number of easy to follow steps, and 56 words. Since the solution to 6 from 3.3 chapter was answered, more than 232 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 6 from chapter: 3.3 was answered by , our top Math solution expert on 03/16/18, 03:24PM. This textbook survival guide was created for the textbook: Numerical Analysis, edition: 10. Numerical Analysis was written by and is associated to the ISBN: 9781305253667. This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 1204 solutions.

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