Using the Lagrange interpolating polynomial with n = 3 find the interpolating polynomial for u(x) x = [1,2], P3(x) b) = The error can be written as = E3 = b(x)εm, 1≤≤2. Use the error formula to calculate c) m = b(x) = Using your answer from part b) calculate an upper bound for the error at x = 3: E = upper bound Calculate the exact error at æ = E3 = for

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Using the Lagrange interpolating polynomial with n = 3 find the interpolating polynomial for u(x)
x = [1,2],
P3(x)
b)
=
The error can be written as
=
E3 = b(x)εm,
1≤≤2.
Use the error formula to calculate
c)
m =
b(x)
=
Using your answer from part b) calculate an upper bound for the error at x =
3:
E
=
upper bound
Calculate the exact error at æ =
E3 =
for
Transcribed Image Text:Using the Lagrange interpolating polynomial with n = 3 find the interpolating polynomial for u(x) x = [1,2], P3(x) b) = The error can be written as = E3 = b(x)εm, 1≤≤2. Use the error formula to calculate c) m = b(x) = Using your answer from part b) calculate an upper bound for the error at x = 3: E = upper bound Calculate the exact error at æ = E3 = for
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