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204 7. A population of rabbits in a meadow is observed to be 200 rabbits at time t = 0, where t is measured

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204 7. A population of rabbits in a meadow is observed to be 200 rabbits at time t = 0, where t is measured in months. After a month, the rabbit population is observed to have increased by 4. Suppose the carrying capacity for this population is 750. Us a) Assuming that the size of the rabbit population satisfies the logistic equation, find an expression for the size of the population after t months. b) How many rabbits are in the population after one year? c) How long will it take for the population to increase to 500?

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