16. The number of individuals N in a population evolves in terms of the time t, expressed in years, according to the equation N = 500 000 1+e-0.05t. a. What was the original number of individuals in the population? b. When will the size of the population be 400 000? c. Show that in the long run the number of individuals stabilizes around a fixed value. Find this value. d. Explain what the result obtained in c. means in terms of the graph of the function(t).
16. The number of individuals N in a population evolves in terms of the time t, expressed in years, according to the equation N = 500 000 1+e-0.05t. a. What was the original number of individuals in the population? b. When will the size of the population be 400 000? c. Show that in the long run the number of individuals stabilizes around a fixed value. Find this value. d. Explain what the result obtained in c. means in terms of the graph of the function(t).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:16. The number of individuals N in a population evolves in terms of the time t, expressed in years,
according to the equation N =
500 000
1+e-0.05t.
a. What was the original number of individuals in the population?
b. When will the size of the population be 400 000?
c. Show that in the long run the number of individuals stabilizes around a fixed value. Find this
value.
d. Explain what the result obtained in c. means in terms of the graph of the function(t).
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