(a) Find the quadratic interpolant to f(x) = x5 on the interval [0, 1 ] based on...

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(a) Find the quadratic interpolant to f(x) = x5 on the interval [0, 1 ] based on equally spaced data points.
(b) Find the quadratic least squares approximation based on the data points 0, .25, .5, .75, 1.
(c) Find the quadratic least squares approximation with respect to the L2 norm.
(d) Discuss the strengths and weaknesses of each approximation.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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