The size of a bird population is modeled by the function P that is a solution to the logistic differential equation dP/dt = P/3 - p^2/2100 , where t is measured in years for t >=0 and the initial population satisfies P(0) =>0 . Which of the following statements could be true?1. lim P(t)> 1150t-> infinty2. The graph of P has a point of inflection for t > 0.3. The maximum rate of P change of occurs at t=0.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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The size of a bird population is modeled by the function P that is a solution to the logistic differential equation dP/dt = P/3 - p^2/2100 , where t is measured in years for t >=0 and the initial population satisfies P(0) =>0 . Which of the following statements could be true?
1. lim P(t)> 1150t-> infinty

2. The graph of P has a point of inflection for t > 0.

3. The maximum rate of P change of occurs at t=0.

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