The equation that gives the diame trcraction AD of the trunnion in a dry-ice alc

Question

The equation that gives the diame trcraction AD of the trunnion in a dry-ice alcohol mix ture (boiling temperature is-108 °F) is given by AD-12363 (a(TAT The equation for the thermal expansion coefficient, =a+12T+a,r, is obtained using regression analysis where the constants of the model are found by solving the following simultaneous linear equations. 24 -2860 7.26x10 1.057x10 -2860 7.26x10 -1.86472x10 a1.04162x102 7.26x1051.86472x10 5.24357x10a 2.56799 Find the values of a, a2, and a3 using naive Gauss elimination and Gauss Seidel. Provide mathlab for each Gauss elimination and Gauss Seidel.

Explanation / Answer

matlab code

close all
clear
clc

A = [24 -2860 7.26*1e5;
-2860 7.26*1e5 -1.86472*1e8;
7.26*1e5 -1.86472*1e8 5.24357*1e10];
b = [1.057*1e-4;-1.04162*1e-2;2.56799];
a = inv(A)*b;

fprintf('a1 = %f a2 = %f a3 = %f ', a);
deltaD = 12.363*integral(@(t)a(1)+a(2)*t+a(3)*t.^2,80,-108)

output

a1 = 0.000005
a2 = 0.000000
a3 = -0.000000

deltaD =
-0.0116

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