a) Construct a divided difference table for the ab data. b) Use the table presented in Part a), along with Newton's divided difference formula, to approximate f(2.57 with a polynomial of degree 3, P3(x). Use_x₁ = 0 as the starting node of the polynomial. c) Estimate the error in the approximation in Part
a) Construct a divided difference table for the ab data. b) Use the table presented in Part a), along with Newton's divided difference formula, to approximate f(2.57 with a polynomial of degree 3, P3(x). Use_x₁ = 0 as the starting node of the polynomial. c) Estimate the error in the approximation in Part
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 16E
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