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PLEASE IF YOU WILL USE AI DO NOT ANSWER MY QUESTION!!!! 4. Suppose a population of deer in a wildlife refuge has a carrying capacity

PLEASE IF YOU WILL USE AI DO NOT ANSWER MY QUESTION!!!!

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4. Suppose a population of deer in a wildlife refuge has a carrying capacity of 1500 deer and its change in population follows the logistic differential equation model. (4 points) a. If the initial population is 200 deer and after 2 years the population is 300 deer, determine the exact value of k in the logistic model and write a formula for population of deer at time , in years. Show your work. b. Use your result from part(a) to find the approximate population after 10 years. c. At what time does the population reach 1200? Show your work

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