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Let z0 = x0, z1 = x0, z2 = x1, and z3 = x1. Form the following divided-difference table

Numerical Analysis (Available Titles CengageNOW) | 8th Edition | ISBN: 9780534392000 | Authors: Richard L. Burden, J. Douglas Faires ISBN: 9780534392000 331

Solution for problem 3.3.12 Chapter 3-3

Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Numerical Analysis (Available Titles CengageNOW) | 8th Edition | ISBN: 9780534392000 | Authors: Richard L. Burden, J. Douglas Faires

Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Problem 3.3.12

Let z0 = x0, z1 = x0, z2 = x1, and z3 = x1. Form the following divided-difference table. z0 = x0 f [z0] = f (x0) f [z0,z1] = f (x0) z1 = x0 f [z1] = f (x0) f [z0,z1,z2] f [z1,z2] f [z0,z1,z2,z3] z2 = x1 f [z2] = f (x1) f [z1,z2,z3] f [z2,z3] = f (x1) z3 = x1 f [z3] = f (x1) Show that the cubic Hermite polynomial H3(x) can also be written as f [z0] + f [z0,z1](x x0) + f [z0,z1,z2](x x0) 2 + f [z0,z1,z2,z3](x x0) 2 (x x1).

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Textbook: Numerical Analysis (Available Titles CengageNOW)
Edition: 8
Author: Richard L. Burden, J. Douglas Faires
ISBN: 9780534392000

The answer to “Let z0 = x0, z1 = x0, z2 = x1, and z3 = x1. Form the following divided-difference table. z0 = x0 f [z0] = f (x0) f [z0,z1] = f (x0) z1 = x0 f [z1] = f (x0) f [z0,z1,z2] f [z1,z2] f [z0,z1,z2,z3] z2 = x1 f [z2] = f (x1) f [z1,z2,z3] f [z2,z3] = f (x1) z3 = x1 f [z3] = f (x1) Show that the cubic Hermite polynomial H3(x) can also be written as f [z0] + f [z0,z1](x x0) + f [z0,z1,z2](x x0) 2 + f [z0,z1,z2,z3](x x0) 2 (x x1).” is broken down into a number of easy to follow steps, and 99 words. Numerical Analysis (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780534392000. This full solution covers the following key subjects: . This expansive textbook survival guide covers 69 chapters, and 1072 solutions. This textbook survival guide was created for the textbook: Numerical Analysis (Available Titles CengageNOW) , edition: 8. The full step-by-step solution to problem: 3.3.12 from chapter: 3-3 was answered by , our top Calculus solution expert on 03/05/18, 08:28PM. Since the solution to 3.3.12 from 3-3 chapter was answered, more than 214 students have viewed the full step-by-step answer.

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Let z0 = x0, z1 = x0, z2 = x1, and z3 = x1. Form the following divided-difference table

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