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5 14 points A calculator may be used The rate of change of the population...

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5 14 points A calculator may be used The rate of change of the population of moose M t in the Boundary Waters Canoe Area Wilderness is directly proportional to 1200 M t for all t 0 t is the time in years and kis a constant of proportionality When t 0 the population is 300 a Write a differential equation that models this situation b Determine M t in terms of t and k c If M 4 600 find the value of k d Calculate M 8 and explain its meaning in context of the situation

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