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The density of seeds at a distance x from a parent tree is observed to be _x2 DOC) = D06 02 where a > 0,

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The density of seeds at a distance x from a parent tree is observed to be _x2 DOC) = D06 02 where a > 0, Do > O are positive constants. Insects that eat these seeds tend to congregate near the tree so that the fraction of seeds that get eaten is 2 :I: F (x) = e where b > 0. The number of seeds that survive is SOC) = D(x)(1 - F (36)) If a = 33 and b = 37, determine the distance x from the tree at which the greatest number of seeds survive. Round your answer to two decimal places

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