Using Neville's algorithm, calculate P2345 for T = 3.0 K. Refer to ta table above.

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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PLEASE ONLY WRITE IN WOLFRAM MATHEMATICA.

IT'S ABOUT NEVILLE'S ALGORITHM

=
Using Neville's algorithm, calculate P2345 for T
table above.
3.0 K. Refer to ta
Transcribed Image Text:= Using Neville's algorithm, calculate P2345 for T table above. 3.0 K. Refer to ta
In a finite interval [a, b] a function f(x) can always be represented by
a polynomial P(x).
The task is to find the polynomial P(x), from the set of points
(xi, f (xi)).
Consider the vapor pressure of He as a function of temperature.
Temperature [K] Vapor pressure [kPa]
6.38512
2.3
2.7
2.9
3.2
3.5
3.7
13.6218
18.676
28.2599
40.4082
49.9945
Helium-4 Vapor Pressure
8
Vapor Pressure [kPa]
8
8
8
0
22 2.4 2.6 2.8 3 3.2 3.4
Temperature [K]
3.6 3.8
4
Transcribed Image Text:In a finite interval [a, b] a function f(x) can always be represented by a polynomial P(x). The task is to find the polynomial P(x), from the set of points (xi, f (xi)). Consider the vapor pressure of He as a function of temperature. Temperature [K] Vapor pressure [kPa] 6.38512 2.3 2.7 2.9 3.2 3.5 3.7 13.6218 18.676 28.2599 40.4082 49.9945 Helium-4 Vapor Pressure 8 Vapor Pressure [kPa] 8 8 8 0 22 2.4 2.6 2.8 3 3.2 3.4 Temperature [K] 3.6 3.8 4
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