Help • Question 9<>Biologists stocked a lake with 300 fish and estimated the carrying capacity (the maximal populationfor the fish of that species in that lake) to be 5300. The number of fish doubled in the first year.(a) Assuming that the size of the fish population satisfies the logistic equationdPAP(1 -).dtdetermine the constant k, and then solve the equation to find an expression for the size of thepopulation after t years.k =P(t) =(b) How long will it take for the population to increase to 2650 (half of the carrying capacity)?It will takeyears.Question Help: DVideoSubmit QuestionO Type here to search

Answered: Image /qna-images/answer/9b7a09e2-5c4b-4b97-8c29-47b1164e072a.jpg

Biologists stocked a lake with 300 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 5300. The number of fish doubled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation dP kP %3D dt K determine the constant k, and then solve the equation to find an expression for the size of the population after t years. P(t) = (b) How long will it take for the population to increase to 2650 (half of the carrying capacity)? It will take years.

Biologists stocked a lake with 300 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 5300. The number of fish doubled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation dP kP %3D dt K determine the constant k, and then solve the equation to find an expression for the size of the population after t years. P(t) = (b) How long will it take for the population to increase to 2650 (half of the carrying capacity)? It will take years.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...

See similar textbooks