For Problems 2 and 3, find the natural cubic splines that pass through the given data points.

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For Problems 2 and 3, find the natural cubic splines that pass through the given data points. Use the splines to answer the requirements.

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a. Estimate the derivative evaluated at x = 3.45. Compare your estimate with the derivative of ex evaluated at x = 3.45.

b. Estimate the area under the curve from 3.3 to 3.6. Compare with

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A First Course In Mathematical Modeling

ISBN: 9781285050904

5th Edition

Authors: Frank R. Giordano, William P. Fox, Steven B. Horton

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