Question 1 f(x) = e²x – x,xo = 0, x1 = 1.25 and x2 = 1.6. a. Construct the interpolating polynomial, P2(x), of degree at most 2 for f(x) using given nodes. b. Find the maximum error in using P2(x) to approximate f(x) on the interval [0,2].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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Question 1
f(x) = e2* – x, x, = 0, x1 = 1.25 and x, = 1.6.
!!
a. Construct the interpolating polynomial, P2(x), of degree at most 2 for f(x) using given
nodes.
b. Find the maximum error in using P2(x) to approximate f(x) on the interval [0,2].
Transcribed Image Text:Question 1 f(x) = e2* – x, x, = 0, x1 = 1.25 and x, = 1.6. !! a. Construct the interpolating polynomial, P2(x), of degree at most 2 for f(x) using given nodes. b. Find the maximum error in using P2(x) to approximate f(x) on the interval [0,2].
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