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.
1 answer:
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The approximate difference in their volumes is 17.2 cubic inches
<h3>How to determine the difference in the volume?</h3>The given parameters are:
Diameter, d = 2.8
Diameter, D = 3.8
The radii are the half of the diameter.
So, we have:
r = 1.4
R = 1.9
The volume of the balls is then calculated using:
The difference is then represented as:
Substitute known values
Evaluate
D = 17.2
Hence, the approximate difference in their volumes is 17.2 cubic inches
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