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5. A certain population of squirrels is represented by the function p(t)=3te 3, where P is the number of squirrels, in hundreds, after t weeks.

5. A certain population of squirrels is represented by the function p(t)=3te 3, where P is the number of squirrels, in hundreds, after t weeks. a) After how many weeks is the number of squirrels a maximum? Be sure to show your check for a maximum. [5 marks] b) Determine the maximum number of squirrels in this population. [1 mark]

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