The population, P, of kangaroos in a reservation is modelled by the logistic dP dt initially the population of the kangaroos is 15% of the carrying capacity of the equation reservation. 2P (5- P 10 000 ) where t is measured in days. It is estimated that (i) What is the initial population of the kangaroos? (ii) What is the population of the kangaroos when the rate of increase is a maximum?
The population, P, of kangaroos in a reservation is modelled by the logistic dP dt initially the population of the kangaroos is 15% of the carrying capacity of the equation reservation. 2P (5- P 10 000 ) where t is measured in days. It is estimated that (i) What is the initial population of the kangaroos? (ii) What is the population of the kangaroos when the rate of increase is a maximum?
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Transcribed Image Text:The population, P, of kangaroos in a reservation is modelled by the logistic
dP
equation =
dt
2P (5-
reservation.
-
P
10 000
) where t is measured in days. It is estimated that
initially the population of the kangaroos is 15% of the carrying capacity of the
(i) What is the initial population of the kangaroos?
(ii) What is the population of the kangaroos when the rate of increase is a
maximum?
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