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18. Decide if the following statement is true or false, and the correct reasoning: According; to the Intermediate Value Theorem, If at) 2 ln(:1:) a:
18. Decide if the following statement is true or false, and the correct reasoning: According; to the Intermediate Value Theorem, If at) 2 ln(:1:) a: then f(x) : 0 has a solution over the interval [0.1, 1]. A) False: f(x) is not continuous on the interval [0.1, 1], so the Intermediate Value Theorem does not apply here. B) True: since f(x) is continuous on the interval [0.1, 1]3 f(0.1) 0, there exists a value 2 on [0.1, 1] such that f(z) : 0. C) True: since f(x) is continuous on the interval [0.1, 1]3 f(0.1) > 0 and f(1) 0 and f(1) > 0; we canit know if at) has a root on [0.1, 1]. E) *False: since f(x) is continuous on the interval [0.1, 1], f(0.1)
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