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1. For the function f(x) = x3 3x+ 2 on the interval [2, 2], find a value(s) for c that satisfies the conclusion of the

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1. For the function f(x) = x3 3x+ 2 on the interval [2, 2], find a value(s) for c that satisfies the conclusion of the Mean Value Theorem. 2. Find the absolute max and min of the function f(x) = x3 6x2 + 5 on the interval [3, 5] using the closed interval method. Show all steps. 4. Let got) 2 200 + 8x3 + 1" Find: (a) The intervals on increase & decrease by sign chart (b) The local max and min points (x. y) (c) The intervals in concavity by sign chart and all inflection points (x, y) (d) Sketch the graph of g(x)

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