For a function f , the Newton divided-difference formula gives the interpolating

Chapter 3, Problem 3.2.16

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For a function f , the Newton divided-difference formula gives the interpolating polynomial P3(x) = 1 + 4x + 4x(x 0.25) + 16 3 x(x 0.25)(x 0.5), on the nodes x0 = 0, x1 = 0.25, x2 = 0.5, and x3 = 0.75. Find f (0.75).

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