A. Use Lagrange third order polynomial to interpolate the value of f(x) at x = 2.25, given the following points, coordinates, and corresponding function values. Point, i Coordinate (x¡i) f (x;) 0.0 2.0 1.75 6.0 3.25 6.0 4.5 2.0

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
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A. Use Lagrange third order polynomial to
interpolate the value of f(x) at x = 2.25, given the
following points, coordinates, and corresponding
function values.
Point, i
Coordinate (x¡i)
f(x;)
0.0
2.0
1
1.75
6.0
2
3.25
6.0
3
4.5
2.0
Transcribed Image Text:A. Use Lagrange third order polynomial to interpolate the value of f(x) at x = 2.25, given the following points, coordinates, and corresponding function values. Point, i Coordinate (x¡i) f(x;) 0.0 2.0 1 1.75 6.0 2 3.25 6.0 3 4.5 2.0
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