Question: (a) Find the quadratic interpolant to f(x) = x5 on the interval [0, 1 ] based on equally spaced data points. (b) Find the quadratic

(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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a 1875x 2 875x b 19420 x 2 10474x0494 c 17857x2 10714x 1071 d The interpolating polynomial is ... View full answer

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