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The initial population is 200 individuals sketch a graph of

Question: Let P be the number of animals in a colony at time t. The growth of the population satisfies

(1000/P)(dP/dt) = 100 - P

The initial population is 200 individuals. Sketch a graph of P against t. Will there ever be more than 200 individuals in the colony? Will there ever be fewer than 100 individuals? Explain.

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