Calculate the 1st order Newton polynomial that interpolates the two data points (1,1),(2,3). Now extend this to a 2nd order Newton polynomial that in addition interpolates the data point (3,2) . (In both cases leave the polynomials in Newton form, for example c, +c,(x-x,)+c,(x-x,)(x-x,)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 32E
Question
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Calculate the 1st order Newton polynomial that interpolates the two data points (1,1),(2,3) .
Now extend this to a 2nd order Newton polynomial that in addition interpolates the data point
(3,2). (In both cases leave the polynomials in Newton form, for example
c, +c,(x-x,)+c,(x-x,)(x-x,)
Transcribed Image Text:Calculate the 1st order Newton polynomial that interpolates the two data points (1,1),(2,3) . Now extend this to a 2nd order Newton polynomial that in addition interpolates the data point (3,2). (In both cases leave the polynomials in Newton form, for example c, +c,(x-x,)+c,(x-x,)(x-x,)
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