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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)

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) = (7t+14)(t^2+4t+3)^1/6

(a) Find the total profit in the first 5 years.

(b) Find the profit in the 6 th year of operation.

(c) What is happening to the annual profit over the long run?

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