The logistic equation models the growth of a population. 6600 P(t) = 1 + 65e -0.65t (a) Use the equation to find the value of k. k = (b) Use the equation to find the carrying capacity. (c) Use the equation to find the initial population. (d) Use the equation to determine when the population will reach 50% of its carrying capacity. (Round your answer to four decimal places.) yr (e) Use the equation to write a logistic differential equation that has the solution P(t). dP dt P(0) =

The logistic equation models the growth of a population. 6600 P(t) = 1 + 65e -0.65t (a) Use the equation to find the value of k. k = (b) Use the equation to find the carrying capacity. (c) Use the equation to find the initial population. (d) Use the equation to determine when the population will reach 50% of its carrying capacity. (Round your answer to four decimal places.) yr (e) Use the equation to write a logistic differential equation that has the solution P(t). dP dt P(0) =

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 30E: Population The table shows the mid-year populations (in millions) of five countries in 2015 and the...

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