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  3. you realize these results are too good to be true...

Question: you realize these results are too good to be true...

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You realize these results are too good to be true as time goes on. You recall from your biology class that there are a variety of factors that tend to constrain population growth, and that there is likely a carrying capacity for your lake. You look at other similar unattended lakes in the area that have had trout in them for years. The Fish and Wildlife Department estimates the trout populations of these small lakes to be about 200. You have decided to model the environmental constraints to the population growth rate with the linear expression 40- (1/5) y. You feel a better D.E. representing the trout population growth rate in your lake is given by (1/20) y (40-(1/5) y)
7. Sketch a phase line for the D.E. 8. State the equilibrium solutions of this D.E. Indicate whether the equilibrium solu- tions are sources or sinks.
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