Find the cubic spline g(x) for the given data with k 0 and k n as given.

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Find the cubic spline g(x) for the given data with k0 and kn as given.

If we started from the piece wise linear function in Fig. 438, we would obtain g(x) in Prob. 10 as the spline satisfying g'(-2) = f'(-2) = 0, g'(2) = f'(2) = 0. Find and sketch or graph the corresponding interpolation polynomial of 4th degree and compare it with the spline.Comment.

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