[AP Calculus BC] 7.5 Cooling and Logistic Growth

Last updated almost 2 years ago
11 questions
1


Round to the nearest minute.

1


The value of k depends on the object, so you can use the same k as from part a

Round to the nearest minute.

1

Note: The exact value of Room Temperature is not needed

Round to the nearest degree celcius

1

Round to the nearest degree celcius

1

Round to the nearest minute

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?

1

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

1

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

Answer in terms of individuals per year

1


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

Round to the nearest week

1

How about 125?

Round to the nearest week

1



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. So really you are trying to figure out when the population reaches 249.5


Round to the nearest year