Question 3 For the data given in the following table: 0.1 0.9 1.2 1.8 y 4.824 7.736 12.392 31.208 (A) Determine the Lagrange interpolating polynomial of the third order around the point x = 1.18. (B) Use this polynomial to evaluate the value of y when x = 1.18.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 3
For the data given in the following table:
0.1
0.9
1.2
1.8
y 4.824 7.736 12.392 31.208
(A) Determine the Lagrange interpolating polynomial of the third
order around the point x = 1.18.
(B) Use this polynomial to evaluate the value of y when x = 1.18.
Transcribed Image Text:Question 3 For the data given in the following table: 0.1 0.9 1.2 1.8 y 4.824 7.736 12.392 31.208 (A) Determine the Lagrange interpolating polynomial of the third order around the point x = 1.18. (B) Use this polynomial to evaluate the value of y when x = 1.18.
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