Biologists stocked a lake with 4 0 0 fish and estimated the carrying capacity ( the maximal population for the fish of that species in that lake ) to be 1 0 , 0 0 0 The memer of fish tripled in the first year Ascume that the size of the fish popelation satisfies the logistic equatioe d P d t 1 P ( 1 P K ) where P P ( t ) is the sime of the popolation at time I years, K is the carrying capacity, and k is a positive constant What is the sifn of d P d t Isplain If A is a constant, shore that the function P ( t ) 1 A e 2 satisfles Equation ( 1 )

Question

Biologists stocked a lake with 4 0 0 fish and estimated the carrying capacity ( the maximal population for the fish of that species in that lake ) to be 1 0 , 0 0 0   The memer of fish tripled in the first year  Ascume that the size of the fish popelation satisfies the logistic equatioe d P d t   1 P ( 1   P K ) where P   P ( t ) is the sime of the popolation at time I years, K is the carrying capacity, and k is a positive constant  What is the sifn of d P d t   Isplain  If A is a constant, shore that the function P ( t )   1 A e 2 satisfles Equation ( 1 )

HelloExperts · Accepted Answer

The Answer is in the image, click to view...

Biologists stocked a lake with 4 0 0 fish and estimated the carrying capacity ( the maximal population for the fish of that species in

Step by Step Solution

1 Understanding Responsive Design Principles

Related Multivariable Calculus Questions