6. Use the Newton's Interpolating Polynomial to determine y at x = 3.5 to the best possible accuracy. Compute the finite divided differences and order your points to attain optimal accuracy and convergence. X y 0 2 1 5.4375 2.5 7.3516 3 7.5625 4.5 8.4453 5 9.1875 6 12

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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6. Use the Newton's Interpolating Polynomial to determine y at x = 3.5 to the best
possible accuracy. Compute the finite divided differences and order your points to
attain optimal accuracy and convergence.
X
y
0
2
1
5.4375
2.5
7.3516
3
7.5625
4.5
8.4453
5
9.1875
6
12
Transcribed Image Text:6. Use the Newton's Interpolating Polynomial to determine y at x = 3.5 to the best possible accuracy. Compute the finite divided differences and order your points to attain optimal accuracy and convergence. X y 0 2 1 5.4375 2.5 7.3516 3 7.5625 4.5 8.4453 5 9.1875 6 12
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