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P(t) = 10000/(1 + Ae^t) denote the population of deer in West Grey Bruce County, Ontario at time t 0 measured in years. (a)

P(t) = 10000/(1 + Ae^−t) denote the population of deer in West Grey Bruce County, Ontario at time t ≥ 0 measured in years.
(a) Let P0 > 0. Find A such that the initial population of deer is P0
(b) If 0 < P0 < 10000 can we find a time T such that P (T ) = 10001. Explain.

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