• a strategy for improving the estimate by introducing some curvature into the line connecting the points. If three data points are available, this can be accomplished with a second-order polynomial. f2(x) = bo+b₁ (x-xo) + b₂(x − xo)(x -x₁) -
• a strategy for improving the estimate by introducing some curvature into the line connecting the points. If three data points are available, this can be accomplished with a second-order polynomial. f2(x) = bo+b₁ (x-xo) + b₂(x − xo)(x -x₁) -
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
USE THE ABOVE EQUATION TO SOLVE THE PROBLEM

Transcribed Image Text:Quadratic Interpolation
• a strategy for improving the estimate by introducing some
curvature into the line connecting the points. If three data
points are available, this can be accomplished with a
second-order polynomial.
f2(x) = bo + b₁(x − xo) + b₂ (x − xo) (x − x₁)
X
f(x)
0
0
400
600
1000
100
200
800
0.82436 1 0.73576 0.40601 0.19915 0.09158
Find the value of the function at x = 140 using
Quadratic Interpolation
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