Question: Problem 1. [10 points] (a) Prove that the function f (3:) = $3 4:1: + 2 has three distinct roots in the interval (3, 2).

Problem 1. [10 points] (a) Prove that the function f (3:) = $3 4:1: + 2 has three distinct roots in the interval (3, 2). (b) Prove that me\" = 2 for some :5 in (0,1)

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