Problem

The following data was generated with the fifth- order polynomial:f(x) = 0.0185x5 - 0.444x...

The following data was generated with the fifth- order polynomial:f(x) = 0.0185x5 - 0.444x4 + 3.9125x3 - 15.456x2 + 27.069x - 14.1:

x

1

3

5

6

7

9

f(x)

1.000

2.172

4.220

5.430

4.912

9.120

(a) Fit this data with a cubic spline with not-a-knot end con­ditions. Create a plot comparing the fit with the function.


(b) Repeat (a) but use clamped end conditions where the end slopes are set at the exact values as determined by differen­tiating the function. conditions. In addition, develop a plot using (c) piecewise cubic Hermite interpolation.

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Solutions For Problems in Chapter 16