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Problem regarding the natural cubic spline function

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Reference no: EM13957977

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?

Reference no: EM13957977

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