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 6300. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation dP dt = KP1- (₁-²), determine the constant k, and then solve the equation to find an expression for the size of the population after t years. k = P(t) = (b) How long will it take for the population to increase to 3150 (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 6300. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation dP dt = KP1- (₁-²), determine the constant k, and then solve the equation to find an expression for the size of the population after t years. k = P(t) = (b) How long will it take for the population to increase to 3150 (half of the carrying capacity)? It will take years

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...

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