The human population x of a certain island satisfies the logistic law dx/dt = kx 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?

The human population x of a certain island satisfies the logistic law dx/dt = kx 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?

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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