The human population of a small island satisfies the logistic law with k = 0.04, λ = 2(10)^-7, and time t measured in years. The population at the start of 1980 is 50,000. A) Find a formula for the population in future years. B) What will be the population in 2000? C) Assuming the differential equation you created applies for all t > 1980, how large will the population ultimately be?
The human population of a small island satisfies the logistic law with k = 0.04, λ = 2(10)^-7, and time t measured in years. The population at the start of 1980 is 50,000. A) Find a formula for the population in future years. B) What will be the population in 2000? C) Assuming the differential equation you created applies for all t > 1980, how large will the population ultimately be?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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The human population of a small island satisfies the logistic law with k = 0.04, λ = 2(10)^-7, and time t measured in years. The population at the start of 1980 is 50,000.
A) Find a formula for the population in future years.
B) What will be the population in 2000?
C) Assuming the differential equation you created applies for all t > 1980, how large will the
population ultimately be?
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