What is the Lagrange interpolating polynomial for the data set?
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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Question
Transcribed Image Text:Lagrange Interpolating Polynomial Problem
Suppose that the Lagrange polynomial passes
through the data points (2, 9), (4, 11) and (5, 13)
is given by f(x)
=
L₁(x)yı + L2(x) y2 +
L3(x) y3.
What is the Lagrange interpolating polynomial
for the data set?
a. P₂ (x) = -√√x². - x +
29
3
3
b. P₂ (x) = x² + x − 2/3/2
P2
29
-
29
c. P₂ (x) = √³x² + x + 2²/3/2
29
d. P₂ (x)
=
- 1x² -
- x +
2²3323
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