Given the data
x | 1 | 2 | 2.5 | 3 | 4 | 5 |
f(x) | 1 | 5 | 7 | 8 | 2 | 1 |
Fit this data with (a) a cubic spline with natural end conditions, (b) a cubic spline with not-a-knot end conditions, and (c) piecewise cubic Hermite interpolation.
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