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For function f(x) = x² ln x, let x。 = 1, x₁ = 2, and x₂ = 3. Use divided difference al-gorithm to construct Newton's interpolating polynomial of degree three (call it

For function f(x) = x² ln x, let x。 = 1, x₁ = 2, and x₂ = 3. Use divided difference al-gorithm to construct Newton's interpolating polynomial of degree three (call it

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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1. For function f(x) = x² ln x, let x₁ = 1, x₁ = 2, and x₂ = 3. Use divided difference al-gorithm to construct Newton's interpolating polynomial of degree three (call it Q₂(x)). Compare Q(x) with P(x) in HW4 problem 2, does this violate the uniqueness property of interpolating polynomials?
Transcribed Image Text:1. For function f(x) = x² ln x, let x₁ = 1, x₁ = 2, and x₂ = 3. Use divided difference al-gorithm to construct Newton's interpolating polynomial of degree three (call it Q₂(x)). Compare Q(x) with P(x) in HW4 problem 2, does this violate the uniqueness property of interpolating polynomials?
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