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A population obeys dP/dt = 0.5P(1 - P/900) with t in… | StemPy Lab

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A population obeys dP/dt = 0.5P(1 - P/900) with t in years. At what population is it growing fastest, and what is the fastest rate?

MathematicsHardHigh School (11–12)Functions and Calculus › Differential Equations AP A-Level IB AEEE (Amrita)AMUEEE AP EAPCET

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A population obeys $\dfrac{dP}{dt} = 0.5P\left(1 - \dfrac{P}{900}\right)$ with $t$ in years. At what population is it growing fastest, and what is the fastest rate?

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