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B) Find the unique polynomial P(x) of degree 2 or less such that P(1) = 1, P(3) = 27, P(4) = 64 using each of the following methods: (i) Lagrange interpolation formula, (ii) Newton divided difference formula. Evaluate P(1.5)

B) Find the unique polynomial P(x) of degree 2 or less such that P(1) = 1, P(3) = 27, P(4) = 64 using each of the following methods: (i) Lagrange interpolation formula, (ii) Newton divided difference formula. Evaluate P(1.5)

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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B) Find the unique polynomial P(x) of degree 2 or less such that P(1) = 1, P(3) = 27, P(4) = 64 using each of the following methods: (i) Lagrange interpolation formula, (ii) Newton divided difference formula. Evaluate P(1.5).
Transcribed Image Text:B) Find the unique polynomial P(x) of degree 2 or less such that P(1) = 1, P(3) = 27, P(4) = 64 using each of the following methods: (i) Lagrange interpolation formula, (ii) Newton divided difference formula. Evaluate P(1.5).
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