A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by the function below.Upper P prime left parenthesis t right parenthesis equals left parenthesis 5 t plus 5 right parenthesis left parenthesis t squared plus 2 t plus 2 right parenthesis Superscript one thirdP(t)=(5t+5)(t^2+2t+2)^1/3a. 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? .

Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x) = 6x - 18; [2,6] Set up the integral (or integrals) needed to compute this area. Use the smallest possible number of integrals. Select the correct choice below and fill in the answer boxes to complete your choice. OA. 1dx + dx N 6 O B. dx + dx N 6 O c. dx + dx N OD. dx 2