Question: Develop a plot of a cubic spline fit of the following data with (a) Natural end conditions and (b) Not-a-knot end conditions. In addition, develop

Develop a plot of a cubic spline fit of the following data with

(a) Natural end conditions and 

(b) Not-a-knot end conditions. In addition, develop a plot using (c) piecewise cubic Hermite interpolation.

X f(x) X f(x) 0 0 600 0.40601 100 0.82436 800 0.19915

In each case, compare your plot with the following equation which was used to generate the data:

200 1.00000 1000 0.09158 400 0.73576

X f(x) X f(x) 0 0 600 0.40601 100 0.82436 800 0.19915 200 1.00000 1000 0.09158 400 0.73576

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