Let f(x)=√x-x² and P2(x) be the interpolation polynomial on x=0, x, and x = 1. Find the largest value of x, in (0, 1) for which f(0.5) - P:(0.5)=-0.25.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
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Let f(x)=√x-² and P₂(x) be the interpolation polynomial on x=0, x₁ and x₂ = 1. Find the
largest value of x; in (0.1) for which f(0.5)-P(0.5) -0.25.
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Transcribed Image Text:Let f(x)=√x-² and P₂(x) be the interpolation polynomial on x=0, x₁ and x₂ = 1. Find the largest value of x; in (0.1) for which f(0.5)-P(0.5) -0.25. -
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