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A population ?(?) can be modeled by the differential equation ??/?? = 0.1? (1 − ?/400)...

A population ?(?) can be modeled by the differential equation ??/?? = 0.1? (1 − ?/400)

a. Find the equilibrium solutions and describe what each solution means for this population.

b. Describe the behavior of the function when ? > 400. Explain.

c. Describe the behavior of the function when 0 < ? < 400. Explain.

d. Sketch at least one solution illustrating each of parts (b) and (c) in the first quadrant below. Include the equilibrium solutions in your sketch.

Math   Calculus   
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