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Suppose that the DE dy y(70 - y) – 600 dt models a logistic equation with harvesting, where y (t) represents a tilapia population in a lake at time t, measured in years. a) The per capita growth rate of the tilapia population is b) The rate at which the tilapia is harvested is c) The limiting and threshold solutions are, respectively, y(t) =

Suppose that the DE dy y(70 - y) – 600 dt models a logistic equation with harvesting, where y (t) represents a tilapia population in a lake at time t, measured in years. a) The per capita growth rate of the tilapia population is b) The rate at which the tilapia is harvested is c) The limiting and threshold solutions are, respectively, y(t) =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Suppose that the DE dy = y(70 – y) – 600 dt models a logistic equation with harvesting, where y (t) represents a tilapia population in a lake at time t, measured in years. a) The per capita growth rate of the tilapia population is b) The rate at which the tilapia is harvested is c) The limiting and threshold solutions are, respectively, y(t) = and
Transcribed Image Text:Suppose that the DE dy = y(70 – y) – 600 dt models a logistic equation with harvesting, where y (t) represents a tilapia population in a lake at time t, measured in years. a) The per capita growth rate of the tilapia population is b) The rate at which the tilapia is harvested is c) The limiting and threshold solutions are, respectively, y(t) = and
c) The limiting and threshold solutions are, respectively, y(t) = and y(t) = d) The stable critical point is while the unstable one is y =
Transcribed Image Text:c) The limiting and threshold solutions are, respectively, y(t) = and y(t) = d) The stable critical point is while the unstable one is y =
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