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Lecture

9.4 Population Growth Model Question #3 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
9.4 Differential Equations Population Growth Model Question #3 (Medium): Solving the Logistic Equation for Popualtion Increase Strategy Logistic model expresses population to be ( ) where is the carrying capacity and is the relative growth rate constant factor and where is the initial population. Sample Question Biologist have discovered that dolphin population at a certain part of the Pacific ocean is . They have also estimated the carrying capacity to be . In that part of the ocean, the dolphin population has doubled over the past year. 1) Assuming that the dolphin population satisfies the logistic equation, find the expression for the population size after ye
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