Answer all questions.The path that a robot is following on a xy-plane is found by interpolating three data points as follow:37y7.53.5(a) Construct the Lagrange interpolation polynomial for the degree of P2(x).(b) Use the obtained polynomial to determine y when x = 2.5.

Answered: Image /qna-images/answer/d37e43c3-7aa8-4765-9af0-e28f25ee8af5.jpg

Answered: Answer all questions. The path that a…

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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Answer all questions. The path that a robot is following on a xy-plane is found by interpolating three data points as follow: 3 5 7 y 7.5 3.5 (a) Construct the Lagrange interpolation polynomial for the degree of P2(x). (b) Use the obtained polynomial to determine y when x = 2.5.