The human population x of a certain island satisfies the logistic law dx/dt = kx – 1x² with k = 0.03 = 3 x 10-2 , 2 = 3 × 10-8 , and time t measured in years. (a) If the population in 1980 is 200,000, find a formula for the population in future years. (b) According to the formula of part (a), what will be the population in the year 2000? (c) What is the limiting value of the population as t → 0?

The human population x of a certain island satisfies the logistic law dx/dt = kx – 1x² with k = 0.03 = 3 x 10-2 , 2 = 3 × 10-8 , and time t measured in years. (a) If the population in 1980 is 200,000, find a formula for the population in future years. (b) According to the formula of part (a), what will be the population in the year 2000? (c) What is the limiting value of the population as t → 0?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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