Required information Consider the given data. 1 2 2.5 3 4 5 f(x) 0 5 7 6.5 2 0 Calculate (3.4) using Lagrange polynomial of order 1 through 3. Choose the sequence of the points for your estimates to attain the best possible accuracy. That is, the points should be centered around and as close as possible to the unknown. (Round the final answer to four decimal places.) The value of (3.4) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Required information
Consider the given data.
x
1
2
2.5
3
4
5
f(x)
0
5
7
6.5
2
0
Calculate (3.4) using Lagrange polynomial of order 1 through 3. Choose the sequence of the points for your estimates to attain the
best possible accuracy. That is, the points should be centered around and as close as possible to the unknown. (Round the final
answer to four decimal places.)
The value of f(3.4) =
Transcribed Image Text:! Required information Consider the given data. x 1 2 2.5 3 4 5 f(x) 0 5 7 6.5 2 0 Calculate (3.4) using Lagrange polynomial of order 1 through 3. Choose the sequence of the points for your estimates to attain the best possible accuracy. That is, the points should be centered around and as close as possible to the unknown. (Round the final answer to four decimal places.) The value of f(3.4) =
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