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Construct a natural cubic spline to approximate f (x) = e−x by using the values given by f (x) at x = 0, 0.25, 0.75, and 1.0. Integrate the spline over [0, 1], and compare the result to
Use the derivatives of the spline to approximate f (0.5) and f (0.5). Compare the approximations to the actual values. |
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