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Let P represent the number of fish in a lake. Suppose this naturally changes over...

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Algebra

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Let P represent the number of fish in a lake. Suppose this naturally changes over time t, abeyingdP/dz = P(1-P, 10-).A. Find and classify the critical points (A.K.A equilibrium solutions to this.B. Suppose some nearby people start eating the fish. They eat as much as they can, but the methods of 6shing will only successfully capture 3/4 of the fish at any given time. Create a new differential equation forthat models this new situation.C. Suppose P(0) 500 in your answer to (8) What is lim P(t)

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Transcribed Image Text

Let P represent the number of fish in a lake. Suppose this naturally changes over time t, abeyingdP/dz = P(1-P, 10-).A. Find and classify the critical points (A.K.A equilibrium solutions to this.B. Suppose some nearby people start eating the fish. They eat as much as they can, but the methods of 6shing will only successfully capture 3/4 of the fish at any given time. Create a new differential equation forthat models this new situation.C. Suppose P(0) 500 in your answer to (8) What is lim P(t)

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