dP Consider a rabbit population P(t) satistying the logistic equation = aP - bP2, where B= aP is the time at which births occur and D= bP2 is the rate at which deaths occur. If the initial population is 220 rabbits and there are 9 births per month and 15 deaths per month occurring at time t=0, how many months does it take for P(t) to reach 115% of the limiting population M? months (Type an integer or decimal rounded to two decimal places as needed.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
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Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...
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dP
aP- bP2, where B = aP is the time rate at which births occur and D = bP2 is the rate at which deaths occur. If the initial population is 220 rabbits and there are 9 births per month and 15
dt
Consider a rabbit population P(t) satisfying the logistic equation
deaths per month occurring at time t= 0, how many months does it take for P(t) to reach 115% of the limiting population M?
months (Type an integer or decimal rounded to two decimal places as needed.)
Transcribed Image Text:dP aP- bP2, where B = aP is the time rate at which births occur and D = bP2 is the rate at which deaths occur. If the initial population is 220 rabbits and there are 9 births per month and 15 dt Consider a rabbit population P(t) satisfying the logistic equation deaths per month occurring at time t= 0, how many months does it take for P(t) to reach 115% of the limiting population M? months (Type an integer or decimal rounded to two decimal places as needed.)
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