Solved: For the given functions f (x), let x0 = 1, x1 = 1.25, and x2 = 1.6. Construct

Chapter 3, Problem 2

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For the given functions f (x), let x0 = 1, x1 = 1.25, and x2 = 1.6. Construct interpolation polynomials of degree at most one and at most two to approximate f (1.4), and find the absolute error. a. f (x) = sin x b. f (x) = 3 x 1 c. f (x) = log10(3x 1) d. f (x) = e2x x

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