(a) Suppose f(2)= 25.755, and f(3) = 26.905, use linear Lagrange interpolation to calculate approximately the value of f(2.7). (b) Suppose f(2)= 25.755, and f(3) = 26.905, and ƒ (4) = 28.950, use quadratic Lagrange interpolation to calculate approximately the value of f(2.7).

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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(a) Suppose f(2)= 25.755, and f(3) = 26.905, use linear Lagrange interpolation to calculate
approximately the value of f(2.7).
(b) Suppose f(2)= 25.755, and f(3) = 26.905, and f(4) = 28.950, use quadratic Lagrange interpolation
to calculate approximately the value of f(2.7).
Transcribed Image Text:(a) Suppose f(2)= 25.755, and f(3) = 26.905, use linear Lagrange interpolation to calculate approximately the value of f(2.7). (b) Suppose f(2)= 25.755, and f(3) = 26.905, and f(4) = 28.950, use quadratic Lagrange interpolation to calculate approximately the value of f(2.7).
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