Compute f(10.25) for a given set of data below using:1. Lagrange Interpolating Polynomial2. Newton's Divided Difference Methodf(x)2.22462X9.259.602.2617610.102.3125410.752.3749111.202.4159113.102.57261Use five decimal places. Show your complete solution.

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Answered: Compute f(10.25) for a given set of…

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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Compute f(10.25) for a given set of data below using: 1. Lagrange Interpolating Polynomial 2. Newton's Divided Difference Method f(x) 2.22462 X 9.25 9.60 2.26176 10.10 2.31254 10.75 2.37491 11.20 2.41591 13.10 2.57261 Use five decimal places. Show your complete solution.