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

Chapter 3, Problem 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 ofthe polynomials. a. / (-1) if /(0.75) = -0.07181250, /(-0.5) = -0.02475000, /(-0.25) = 0.33493750, /(0) = 1.10100000 b. /(0.25) if /(0.I) = -0.62049958, /(0.2) = -0.28398668, /(0.3) = 0.00660095, /(0.4) = 0.24842440

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