Problem

The following is the built-in humps function that MATLAB uses to demonstrate some of its n...

The following is the built-in humps function that MATLAB uses to demonstrate some of its numerical capabilities:

The humps function exhibits both flat and steep regions over a relatively short x range. Here are some values that have been generated at intervals of 0.1 over the range from x = 0 to 1:

X	0	0.1	0.2	0.3	0.4	0.5
f(x)	5.176	15.471	45.887	96.500	47.448	19.000
X	0.6	0.7	0.8	0.9	1
f(x)	11.692	12.382	17.846	21.703	16.000

Fit this data with a (a) cubic spline with not-a-knot end conditions and (b) piecewise cubic Hermite interpolation. In both cases, create a plot comparing the fit with the exact

humps

function.

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Solutions For Problems in Chapter 16

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