Chapter 19, Problem 23P

Develop a plot of the following data with

(a) sixth-order interpolating polynomial,

(b) A cubic spline, and

(c) A cubic spline with zero end derivatives.

x	0	100	200	400	600	800	1000
$f\left(x\right)$	0	0.82436	1.00000	0.73576	0.40601	0.19915	0.09158

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

$f\left(x\right)=\frac{x}{200}{e}^{-\frac{x}{200}+1}$