Is there a stable value of the population

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Reference no: EM131612655

Question: (a) On the slope field for dP/dt = 3P - 3P2 in Figure, sketch three solution curves showing different types of behavior for the population, P.

(b) Is there a stable value of the population? If so, what is it?

(c) Describe the meaning of the shape of the solution curves for the population: Where is P increasing? Decreasing? What happens in the long run? Are there any inflection points? Where? What do they mean for the population?

(d) Sketch a graph of dP /dt against P. Where is dP /dt positive? Negative? Zero? Maximum? How do your observations about dP /dt explain the shapes of your solution curves?

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Reference no: EM131612655

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