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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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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.
Transcribed Image Text: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.
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