You are given that f (x) = x 2 2 e x 2 x +

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You are given that f (x) = x2 − 2 ex − 2x + 5 has a single real root xr on [0, 1]. Use the following methods to determine the root to within an error tolerance defined by |f (xr)| ≤ 0.001. Comment on your answers.

a. Bisection method

b. Regula falsi method

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