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The path that a robot is following on a xy-plane is found by interpolating four data points as follow. X y 2 7.5 4.5 7.5 5.5 6 7 5 P,(x). a) Construct the Lagrange interpolation polynomial for the degree of three, b) From the answer in (a), determine the length of the path from x=2 to x = 7.

The path that a robot is following on a xy-plane is found by interpolating four data points as follow. X y 2 7.5 4.5 7.5 5.5 6 7 5 P,(x). a) Construct the Lagrange interpolation polynomial for the degree of three, b) From the answer in (a), determine the length of the path from x=2 to x = 7.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The path that a robot is following on a xy -plane is found by interpolating four data points 16. Chapter 3 as follow. X y 2 7.5 4.5 7.5 5.5 6 7 Answer: a) R(x)=0.1524x³-2.5238x² +11.6048x-6.8333. b) P(x) dx = 35.9857. 5 a) Construct the Lagrange interpolation polynomial for the degree of three, P(x). b) From the answer in (a), determine the length of the path from x=2 to x = 7. 1 Use
Transcribed Image Text:The path that a robot is following on a xy -plane is found by interpolating four data points 16. Chapter 3 as follow. X y 2 7.5 4.5 7.5 5.5 6 7 Answer: a) R(x)=0.1524x³-2.5238x² +11.6048x-6.8333. b) P(x) dx = 35.9857. 5 a) Construct the Lagrange interpolation polynomial for the degree of three, P(x). b) From the answer in (a), determine the length of the path from x=2 to x = 7. 1 Use
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