Please don't provide handwritten solution .... 1) Given the dataXf(x)32631959972918444(a) Calculate f (4) using Newton's interpolating polynomialsof order 1 through 4. Choose your base points to attaingood accuracy.(b) Repeat using Lagrange polynomials of order 1 through 3.

The value of table for x and yx123578y361999291444Numerical divided differences method to find…

Answered: Given the data f(x) + 1 3 2 6 3 19 5 99…

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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Given the data f(x) + 1 3 2 6 3 19 5 99 7 291 8 444 (a) Calculate f(4) using Newton's interpolating polynomials of order 1 through 4. Choose your base points to attain good accuracy. (b) Repeat using Lagrange polynomials of order 1 through 3.