AP Calculus BC Flashcards: Logistic Models With Differential Equations

Study Logistic Models With Differential Equations in AP Calculus BC with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What are the units of $r$ in the logistic model $\frac{dP}{dt} = rP(1 - \frac{P}{K})$ ?

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ANSWER

Inverse time. Since $\frac{dP}{dt}$ has units of population per time.

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AP Calculus BC: Differential Equations

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What this deck covers

This deck focuses on Logistic Models With Differential Equations, giving you a quick way to review the definitions, rules, and examples that matter most for AP Calculus BC.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 30Practice questions for this set

A bacteria culture follows

\frac{dy}{dt}=ky\left(1-\frac{y}{5000}\right)

with

k>0

. If

y(0)=6000

, what happens to

y

t\to\infty

Choose an answer

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