For the given functions f(x), let x = 0, x₁ = 0.6, and x₂ = 0.9. Construct interpolation polynomials of degree at most one and at most two to approximate f (0.45), and find the absolute error. a. f(x) = cos.x b. f(x)=√1+x

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.7: Functions Defined By Equations
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For the given functions f(x), let x = 0, x₁ = 0.6, and x₂ = 0.9. Construct interpolation polynomials
of degree at most one and at most two to approximate f (0.45), and find the absolute error.
a. f(x) = cos.x
b. f(x)=√1+x
Transcribed Image Text:For the given functions f(x), let x = 0, x₁ = 0.6, and x₂ = 0.9. Construct interpolation polynomials of degree at most one and at most two to approximate f (0.45), and find the absolute error. a. f(x) = cos.x b. f(x)=√1+x
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