xtinct. (Adults ave been modeled by the c dP dt where the extra factor, 1-m/P.u lobom tion (see Exercise 21). 20od 9.4 EXERCISES 1-2 A population grows according to the given logistic equation, where t is measured in weeks. (a) What is the carrying capacity? What is the value of k? (b) Write the solution of the equation. (c) What is the population after 10 weeks? 10 dP 1. = 0.04P| 1 P(0) = 60 %3| %3D dt 1200 dP 2. = 0.02P – 0.0004P?, P(0) = 40 %3D %3D dt 3. Suppose that a population develops according to the logistic equation (c) Use ulati solur solut dP = 0.05P – 0.0005P² dt do th (d) What soluti where t is measured in weeks. (a) What is the carrying capacity? What is the value of k? O A direction field for this equation is shown. Where are the slopes close to 0? Where are they largest? Which solutions are increasing? Which solutions are 4. Suppose with carry (a) Write
xtinct. (Adults ave been modeled by the c dP dt where the extra factor, 1-m/P.u lobom tion (see Exercise 21). 20od 9.4 EXERCISES 1-2 A population grows according to the given logistic equation, where t is measured in weeks. (a) What is the carrying capacity? What is the value of k? (b) Write the solution of the equation. (c) What is the population after 10 weeks? 10 dP 1. = 0.04P| 1 P(0) = 60 %3| %3D dt 1200 dP 2. = 0.02P – 0.0004P?, P(0) = 40 %3D %3D dt 3. Suppose that a population develops according to the logistic equation (c) Use ulati solur solut dP = 0.05P – 0.0005P² dt do th (d) What soluti where t is measured in weeks. (a) What is the carrying capacity? What is the value of k? O A direction field for this equation is shown. Where are the slopes close to 0? Where are they largest? Which solutions are increasing? Which solutions are 4. Suppose with carry (a) Write
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.1: Logistic Functions
Problem 17E: World Population The following table shows world population N, in billions, in the given year. Year...
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