Temperatures (°C) are measured at various points on a heated plate, which are reported in the following table. Estimate the temperature when X=4 and Y=3.2, X=4.3 and Y=2.7 by Lagrange polynomial.
Temperatures (°C) are measured at various points on a heated plate, which are reported in the following table. Estimate the temperature when X=4 and Y=3.2, X=4.3 and Y=2.7 by Lagrange polynomial.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Temperatures (°C) are measured at various points on a heated plate, which are reported in the following table. Estimate the temperature when X=4 and Y=3.2, X=4.3 and Y=2.7 by Lagrange polynomial.
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Help with this problem please, we are working using only X and Y data, but never anything more than this so I don't know how to apply the formulas when we are given more data and I am confused for this task.
Transcribed Image Text:Y=0
Y=2
Y=4
Y=6
Y=8
X=0
100
85
70
55
40
X=2
90
64.49
48.9
38.78
35
X=4
80
53.5
38.43
30.39
30
X=6
70
48.15
35.03
27.07
25
X=8
60
50
40
30
20
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