A certain national park is known to be able to support at most 100 grizzly bears. Ten bears are known to be in the park at present. Assume that the bear population growth is logistic in nature with a proportionality constant of k - 0.001. a. Determine the population of bears y(t) as an explicit function of time t. b. When will the bear population be 25? 50? c. Approximately when will the bear population become constant?

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