Use mathematical software such as MATLAB, Maple, or Mathematica to find an interpolation polynomial for the points (0, 0), (1, 1), (2, 2.001), (3, 3), (4, 4), (5, 5). Evaluate the polynomial at the point x = 14 or x = 20 to show that slight roun doff errors in the data can lead to suspicious results in extrapolation.
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