Can you please help me get the result of e^k, thank you! Biologists stocked a lake with 200 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 5,000. The number of fish tripled in the first year.Exercise (a)Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size ofthe population after t years.Step 1MWe know that P(t) =1 + Ae-ktWe have P(0) =200200 and carrying capacity M = 50005000M - P(0)P(0)This means that A == 2424Step 25000We have P(t) =1 + 24e-ktSince P(1) = 600, then 1 + 24e-k = 25/3and so ek = 11/36

We can solve using reciprocal relationship of exponential. e^x=1/(e^-x).

Answered: Can you please help me get the result…

Math

Calculus

Can you please help me get the result of e^k, thank you!

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.CR: Chapter Review

Problem 18E

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