A small company of science writers found that its rate of profit​ (in thousands of​ dollars) after t years of operation is given by Upper P prime left parenthesis t right parenthesis equals left parenthesis 3 t plus 3 right parenthesis left parenthesis t squared plus 2 t plus 3 right parenthesis Superscript one sixthP′(t)=(3t+3)t2+2t+3
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6.
​(a) Find the total profit in the first fivefive years.
​(b) Find the profit in the sixthsixth year of operation.
​(c) What is happening to the annual profit over the long​ run?
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Part 1
​(a) The total profit in the first fivefive years is ​$enter your response here