A third-order polynomial of the form y = Ax³ + Bx² + Cx + D is to be fitted to four time-velocity data points. At time x = 0, 1,
2, and 3 s, the velocity is measured as 7, 14, 29, and 58 m/s.
Using Gauss-Jordan elimination, find the curve that passes through these points. Also, solve the problem by employing the backslash operator in MATLAB and compare the results with those obtained earlier.
Using Gauss-Jordan elimination, find the curve that passes through these points. Also, solve the problem by employing the backslash operator in MATLAB and compare the results with those obtained earlier.
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Let y = ax²+bx+c then substitute all of orders. we'll be doing equations system.
Ok we are at this.
Substitute c = 3 into equation 1 and equation 3.
then addition and subtract for a-b = 3 and a+b = -1
Therefore a = -2, substitute a = -2 in a-b+c=0 or a+b+c=2 but i'm doing a-b+c=0 one.
Therefore b = 1, substitute both a, b and c into y=ax²+bx+c as we get,
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