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D e fi n e a f u n c t i o n f ( x ) b y f ( x ) = 0x ( 2 − e u 2 ) d u . (a) At which values of x is f(x) continuous? At which values of x is f(x) differentiable? (b) At which values of x is f(x) a maximum value for this function on the interval [0,10] ? (c) At which values of x is f(x) a maximum value for this function on the interval [-10,0]?

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