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13 Nov 2019
(1 point) The population P of some species in an environment with limited resources is usually modelled by the logistic function 1 be-ct where a, b, c are positive constants and t represents time. It is known that the initial population is 155 and increases to 196 after 2 years. After a long time, the population will approach to the carrying capacity of 1070. (a) Find a, b and c so that the logistic equation P can be used to model the population of this species after t years. Round your answers to at least 5 significant figures. a= (b) What is the initial growth rate? Round your answer to at least 3 significant figures. Growth rate = /year (c) How long does it take for the population to reach 62% of the carrying capacity? Round your answer to at least 3 significant figures. It takes years.
(1 point) The population P of some species in an environment with limited resources is usually modelled by the logistic function 1 be-ct where a, b, c are positive constants and t represents time. It is known that the initial population is 155 and increases to 196 after 2 years. After a long time, the population will approach to the carrying capacity of 1070. (a) Find a, b and c so that the logistic equation P can be used to model the population of this species after t years. Round your answers to at least 5 significant figures. a= (b) What is the initial growth rate? Round your answer to at least 3 significant figures. Growth rate = /year (c) How long does it take for the population to reach 62% of the carrying capacity? Round your answer to at least 3 significant figures. It takes years.
Collen VonLv2
24 Feb 2019