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A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by P(t)=(3t+12)(t^2+8t+7)^1/3

A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by

P(t)=(3t+12)(t^2+8t+7)^1/3

(a) Find the total profit in the first

five

years.(b) Find the profit in the

sixth

year of operation.(c) What is happening to the annual profit over the long run?

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