1. Using Newton's backward-differences, construct interpolating polynomials of degree one, two, and three for the following data. Approximate thespecified value using each of the polynomials.A. ƒ(0.9) if ƒ(0.6) = −0.17694460, ƒ(0.7) = 0.01375227, ƒ(0.8) = 0.22363362, ƒ(1.0) = 0.65809197B. ƒ(0) if ƒ(−0.5) = 1.93750, ƒ(-0.25) = 1.33203, ƒ(0.25) = 0.800781, ƒ(0.5) = 0.687500

As you ask multiple questions and according to the rule I have to solve the first one only. Please…

Answered: 1. Using Newton's backward-differences,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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