Exponential Growth and Decay Models

AP Calculus AB· difficulty 2/5

For the logistic dP/dt=kP(1P/M)dP/dt = k P(1 - P/M), the population approaches

  • A

    MM (carrying capacity)

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  • B

    00

  • C

    \infty

  • D

    kk

Explanation

Long-term limit is MM (assuming 0<P0<M0 < P_0 < M initially).

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