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Consider the function F and its derivatives. F(x) = xe- F(x) = (2x-x3)e-x F(x) = (x2 - 4x +2)e-x a) Determine the intervals of increase/decrease

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Consider the function F and its derivatives. F(x) = xe- F(x) = (2x-x3)e-x F"(x) = (x2 - 4x +2)e-x a) Determine the intervals of increase/decrease of F. (4 points) b) Find all local max/min values of F. (2 points) c) Determine intervals of concavity and all inflection points of F. (5 points)

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