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1. The density of seeds at a distance x from a parent tree is observed to be D(x) = Doe where a > 0, Do

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The density of seeds at a distance x from a parent tree is observed to be D(x) = Doe where a > 0, Do > 0 are positive constants. Insects that eat these seeds tend to congregate near the tree so that the fraction of seeds that get eaten is F(x) = e b where b > 0. The number of seeds that survive is S(x) = D(x)(1 - F(x)) If a = 33 and b = 41, determine the distance x from the tree at which the greatest number of seeds survive. Round your answer to two decimal places. Answer:If f(x) is a continuous function on the interval [a,b], then the Extreme Value Theorem implies that f(x) has at least one extreme value on [a,b]. Select one: O True O False

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