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)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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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).

this question from numerical methods course.

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