The following data are sampled from the step function depicted in Fig. 18.1: Fit these data with

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The following data are sampled from the step function depicted in Fig. 18.1:

Fit these data with a 

(a) Cubic spline with not-a-knot end conditions,
(b) Cubic spline with zero-slope clamped end conditions, and 

(c) Piecewise cubic Hermite interpolation. In each case, create a plot comparing the fit with the step function.

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