he specific heat of water is given as a function of time in below. Temperature, T(°C) Specific heat, C 4181 4179 4186 4199 4217 for 61 PRO 22 42 Determine the value of the specific heat at T 61°C Use Lagrange m 7points First order polynomial. Second order polynomial. → P₂ (n) Third order polynomial. 52 82 100 3 put P₁ (x) + 4 points

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 57E
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especific heat of water is given as a function time in below.
Temperature, T(°C) Specific heat, C
4181
4179
T
4186
4199
4217
for
Determine the value of the specific heat at T 61°C Use Lagrange method of interpolation
7points
First order polynomial.
P. (n)=
Second order polynomial. → P₂ (n)
Third order polynomial.
a)
b)
c)
Answer:
a) 4189.9-
61
kg-'C
22
42
52
82
100
3 punts
Ps (n) + 4 points
b) 4191.2-
kg-C
c) 4190.0-
kg-C
Transcribed Image Text:especific heat of water is given as a function time in below. Temperature, T(°C) Specific heat, C 4181 4179 T 4186 4199 4217 for Determine the value of the specific heat at T 61°C Use Lagrange method of interpolation 7points First order polynomial. P. (n)= Second order polynomial. → P₂ (n) Third order polynomial. a) b) c) Answer: a) 4189.9- 61 kg-'C 22 42 52 82 100 3 punts Ps (n) + 4 points b) 4191.2- kg-C c) 4190.0- kg-C
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