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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

السؤال

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1. (4 pts) Which one of the following functions satisfies the hypotheses of Rolle's Theorem on their respective intervals? Select all that apply. (A) f(x) = cos(x) on [0,2] (B) g(x) = |x2| on [0,4] 1 (C) h(x) = = on [−1,1] x2 (D) k(x) = | sin(x)| on [0,2] 2. (2 pts) Suppose a function f is differentiable on (-∞, ∞0) and the following is true: f'(x) 4 for all x • f(1) = 2 Which of the following must be false? (A) f(5) = =-3 (B) f(5) = 0 (C) f(5) = 18 (D) f(5) = 25

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