The Newton forward divided-difference formula is used to approximate f (0.3) given the

Chapter 3, Problem 3.2.15

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The Newton forward divided-difference formula is used to approximate f (0.3) given the following data. x 0.0 0.2 0.4 0.6 f (x) 15.0 21.0 30.0 51.0 Suppose it is discovered that f (0.4) was understated by 10 and f (0.6) was overstated by 5. By what amount should the approximation to f (0.3) be changed?

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