1. For the given functions f (x), let xo = 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. f(x) = cos x с. f (x) = In(x+ 1) a. b. f (x) = /T+x d. f(x) = tan x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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For the given functions f (x), let xo = 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.
1.
f (x) = cos x
f (x) = In(x + 1)
а.
с.
b.
f (x) = /I+ xr
d.
f (x) = tan x
Transcribed Image Text:For the given functions f (x), let xo = 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. 1. f (x) = cos x f (x) = In(x + 1) а. с. b. f (x) = /I+ xr d. f (x) = tan x
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