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The rate of change of the population of animals is proportional to the population at a given time. Let P(t) be the number of animals in the population, where t is measured in years. Use differential equations to find the general solution to for P(t), where P(0) is the initial population and r is the rate of growth.

The rate of change of the population of animals is proportional to the population at a given time. Let P(t) be the number of animals in the population, where t is measured in years. Use differential equations to find the general solution to for P(t), where P(0) is the initial population and r is the rate of growth.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.EA: Extended Application Managing Renewable Resources
Problem 1EA: Suppose that a particular plot of land can sustain 500 deer and that the population of this...
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The rate of change of the population of animals is proportional to the population at a given time. Let P(t) be the number of animals in the population, where t is measured in years. Use differential equations to find the general solution to for P(t), where P(0) is the initial population and r is the rate of growth. N The CIA published data about foreign countries on its web page. In particular they show total population as well as population growth. If a student is looking at Russia, they will see that the total population of Russia is declining. When they look at the table that shows annual population growth all the rates are positive. Assume population grows and declines at a rate proportional to the population. What is the problem?
Transcribed Image Text:The rate of change of the population of animals is proportional to the population at a given time. Let P(t) be the number of animals in the population, where t is measured in years. Use differential equations to find the general solution to for P(t), where P(0) is the initial population and r is the rate of growth. N The CIA published data about foreign countries on its web page. In particular they show total population as well as population growth. If a student is looking at Russia, they will see that the total population of Russia is declining. When they look at the table that shows annual population growth all the rates are positive. Assume population grows and declines at a rate proportional to the population. What is the problem?
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