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2. Let f(x) = cos(2x) - 2 sin(x) (a) Explain why f satisfies the conditions of the Mean Value Theorem (MVT) on the interval [0,

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2. Let f(x) = cos(2x) - 2 sin(x) (a) Explain why f satisfies the conditions of the Mean Value Theorem (MVT) on the interval [0, 7]. (b) Find all values guaranteed by the MVT (c) Interpret your answers to part (b) graphically in terms of slopes on the graph below: (0, 1) 1 ( 7, 1) 0 (d) What other theorem regarding slopes applies in this scenario

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