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Exponential Growth and Decay Models

AP Calculus AB· difficulty 3/5

The logistic differential equation models population with

  • A

    dP/dt=kdP/dt = k

  • B

    dP/dt=kPdP/dt = k P

  • C

    dP/dt=kP(1−P/M)dP/dt = k P (1 - P/M) with carrying capacity MM

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  • D

    dP/dt=−kP2dP/dt = -k P^2

Explanation

Logistic equation has both growth and self-limiting term.

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