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Question: suppose a population pt grows according to a logistic model...

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Suppose a population P(t) grows according to a logistic model with carrying capacity 6,000 individuals and constant of proportionality 0.0015 per year. 7. Write the logistic differential equation for this population. 8. Give an example of a value for the initial population that would cause logistic decay. What is the range of P(t)? Why? 9. Give an example of a value for the initial population that would cause logistic growth with an inflection point. Sketch a graph of t versus P(t) for your PrO) and label the inflection point.

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