AP Calculus BC Proportionality

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6 Terms

1
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dP/dt = kP

P = Ce^kt

2
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dP/dt = kP(M - P)

P = M/ (1 + Ae^-Mkt)

3
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dP/dt = kP(1 - P/M)

P = M/(1 + Ae^-kt)

4
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Exponential Growth

dP/dt = kP

5
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Logistic Growth

dP/dt = kP(M - P)

6
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Alternate Growth

dP/dt = kP(1 - P/M)