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 0 100 400 600 800 1000 200 0.82436 1 0.73576 0.40601 0.19915 0.09158 Find the value of the function at x = 140 using Quadratic Interpolation

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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SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE AND DETAILED SOLUTIONS FOR BETTER UNDERSTANDING.
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
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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