Question: Let f(x) = cos(2x) + x, 0 x 1. (a) Find the Lagrange interpolating polynomial to approximate f(x) for the data x1 = 0, x2

Let f(x) = cos(2x) + x, 0 x 1. (a) Find the Lagrange interpolating polynomial to approximate f(x) for the data x1 = 0, x2 = 0.5 and x3 = 1. (b) Calculate the absolute error at point x = 0.75

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