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dP Consider a rabbit population P(t) satisfying the logistic equation = aP - bP“, where B = aP is the time rate at which births occur and D= bP is the rate at which deaths occur. If the initial population is 220 rabbits and there are 6 births per month and 15 deaths per month occurring at time dt 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.)

dP Consider a rabbit population P(t) satisfying the logistic equation = aP - bP“, where B = aP is the time rate at which births occur and D= bP is the rate at which deaths occur. If the initial population is 220 rabbits and there are 6 births per month and 15 deaths per month occurring at time dt 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.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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dP Consider a rabbit population P(t) satisfying the logistic equation = aP - bP“, where B = aP is the time rate at which births occur and D= bP is the rate at which deaths occur. If the initial population is 220 rabbits and there are 6 births per month and 15 deaths per month occurring at time dt 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 Consider a rabbit population P(t) satisfying the logistic equation = aP - bP“, where B = aP is the time rate at which births occur and D= bP is the rate at which deaths occur. If the initial population is 220 rabbits and there are 6 births per month and 15 deaths per month occurring at time dt 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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