Question: (a) Using the exact values for x at x = 0, , 9/16 1 , construct the natural cubic spline interpolant. (b) What is

(a) Using the exact values for √x at x = 0, ¼ , 9/16 1 , construct the natural cubic spline interpolant.
(b) What is the maximal error of the spline on the interval [0, 1 ]?
(c) Compare the error with that of the interpolating cubic polynomial you found in Exercise 4.4.20.
(d) Which is the better approximation?
(e) Answer (d) using the cubic least squares ap- proximant based on the L2 norm on [0, 1].

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