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26. The population P(t) of a species satisfies the logistic differential equation ap = P|2 -- P dt 5000 where the initial population P(0) =

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26. The population P(t) of a species satisfies the logistic differential equation ap = P|2 -- P dt 5000 where the initial population P(0) = 3,000 and t is the time in years. What is lim P(t)? 1-700 (A) 2,500 (B) 3,000 (C) 4,200 (D) 5,000 (E) 10,000 AP Calculus 2008 BC Multiple Choice P(1) 200- 100 24. Which of the following differential equations for a population P could model the logistic growth shown in the figure above? di (A) =0.2P-0.001P 27. Which of the following could be the slope field for the differential equation -- y3-1? (B) -0.1P-0.001P2 dt (C) di = 0.2P -0.001P D) - 0.1P -0.001P di dp =0.1P +0.001P

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