Harby Communications, 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 3)(t 2 2t 2) 1 3 (a) Find the total profit in the first three years (b) Find the profit in the fourth year of operation (c) What is happe...

Pt 3t 3t 2 2t 2 13 a Let u t 2 2t 2 so that du 2t 2 dt and 12 du t 1 dt When t 0 u 0 ...

Harby Communications, a small company of science writers, found that its rate of profit (in thousands of

Question:

Harby Communications, 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 + 3)(t² + 2t + 2)^1/3.
(a) Find the total profit in the first three years.
(b) Find the profit in the fourth year of operation.
(c) What is happening to the annual profit over the long run?

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