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Laabri

[AP Calculus BC] 7.5 Logistic Growth

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Last updated over 2 years ago
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1.

The following logistic equation describes the growth of a population P, where t is measured in years

a) What is the carrying capacity of the population?

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2.

How big is the population when it is growing the fastest?

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3.

How fast is the population growing when it is growing the fastest?

Answer in terms of individuals per year

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4.

How long will it take the guppy population to be 100?

Round to the nearest week

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5.

How about 125?

Round to the nearest week

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6.

How long will it take for the gorilla population to reach the carrying capacity of the preserve?

Because population must be a whole number, you may assume that the population will round up/down appropriately to the nearest whole number.

Round to the nearest year