Problem 1 consider the natural cubic spline function sx
Problem 1: Consider the natural cubic spline function s(x) interpolation the following data:
xi
0
1
2
f(xi)
f0
f1
f2
If the first interval, [0,1], s(x) is equal to the polynomial 1 + 2x + 4x3 then
(a) What are the values of f0 and f1?
(b) What is the value of f2?
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