Solved: Use the Newton forward-difference formula to construct interpolating polynomials

Chapter 3, Problem 3.2.3

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Use the Newton forward-difference formula to construct interpolating polynomials of degree one, two, and three for the following data. Approximate the specified value using each of the polynomials. a. f (1 3 ) if f (0.75) = 0.07181250, f (0.5) = 0.0247500, f (0.25) = 0.33493750, f (0) = 1.10100000 b. f (0.25) if f (0.1) = 0.62049958, f (0.2) = 0.28398668, f (0.3) = 0.00660095, f (0.4) = 0.24842440

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