# SOLUTION: Let f(t)=t^2+4t+2. Find a value of t such that the average rate of change of f(t) from 0 to t equals 13

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 Click here to see ALL problems on Miscellaneous Word Problems Question 212467: Let f(t)=t^2+4t+2. Find a value of t such that the average rate of change of f(t) from 0 to t equals 13 Answer by nerdybill(6962)   (Show Source): You can put this solution on YOUR website!Let f(t)=t^2+4t+2. Find a value of t such that the average rate of change of f(t) from 0 to t equals 13 . "average rate of change" is simply the instantaneous slope when t=13. . To find it, you can find the derivative of f(t): f(t)=t^2+4t+2 f'(t)=2t+4 . Now, find f'(13): f'(t)=2t+4 f'(13)=2(13)+4 f'(13)=26+4 f'(13)=30