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 a = 1.18. (B) Use this polynomial to evaluate the value of y when r = 1.18.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 43E
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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 r = 1.18.
(B) Use this polynomial to evaluate the value of y when r =
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 r = 1.18. (B) Use this polynomial to evaluate the value of y when r = 1.18.
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