6. For f(x) = 2x - x, construct the second Lagrange interpolating polynomial using the nodes xo = 1, x₁ = 1.25 and x₂ = 1.6. Then approximate ƒ(1.4) and find the absolute and relative errors.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 43E
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6. For f(x) = 2x - x, construct the second Lagrange interpolating polynomial
using the nodes xo = 1, x₁ = 1.25 and x₂ = 1.6. Then approximate ƒ(1.4)
and find the absolute and relative errors.
Transcribed Image Text:6. For f(x) = 2x - x, construct the second Lagrange interpolating polynomial using the nodes xo = 1, x₁ = 1.25 and x₂ = 1.6. Then approximate ƒ(1.4) and find the absolute and relative errors.
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