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The real-valued functionf(x), defined for 0 =x = 1, has a single maximum atx =m. If 0 =u v =m thenf(u) f(v), and ifm =u v = 1 thenf(u) >f(v). You are told nothing else aboutf, but you may ask for the value off(x) for any values ofx you choose. How would you find the approximate value ofm? How accurately could you findmif you could choose only 10 values ofx for which to evaluatef(x)?

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