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Consider the data in Table. Using direct fit polynomials, calculate P₂(4.25) using: (a) the first three points (b) the last three points (c) the middle three points . Consider the data in Table. Using Lagrange polynomials, calculate P₂(4.25) using: (a) the first three points (b) the last three points (c) the middle three points 3 3.5 4.5 5 3.3333 3.7857 4.2500 4.5222 5.2000

Consider the data in Table. Using direct fit polynomials, calculate P₂(4.25) using: (a) the first three points (b) the last three points (c) the middle three points . Consider the data in Table. Using Lagrange polynomials, calculate P₂(4.25) using: (a) the first three points (b) the last three points (c) the middle three points 3 3.5 4.5 5 3.3333 3.7857 4.2500 4.5222 5.2000

Advanced Engineering Mathematics
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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. Consider the data in Table. Using direct fit polynomials, calculate P₂(4.25) using: (a) the first three points (b) the last three points (c) the middle three points Consider the data in Table. Using Lagrange polynomials, calculate P₂(4.25) using: (a) the first three points (b) the last three points (c) the middle three points x 3 3.5 4 4.5 5 F(x) 3.3333 3.7857 4.2500 4.5222 5.2000
Transcribed Image Text:. Consider the data in Table. Using direct fit polynomials, calculate P₂(4.25) using: (a) the first three points (b) the last three points (c) the middle three points Consider the data in Table. Using Lagrange polynomials, calculate P₂(4.25) using: (a) the first three points (b) the last three points (c) the middle three points x 3 3.5 4 4.5 5 F(x) 3.3333 3.7857 4.2500 4.5222 5.2000
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