The number of molecules of a certain drug in the bloodstream t hours after it has been taken is represented by the equation M(t) = t^{3} + 3t^{2} + 72t, 0 < t < 10.

10.1Determine the number of molecules of the drug in the bloodstream 3 hours after the drug was taken.(2)

10.2Determine the rate at which the number of molecules of the drug in the bloodstream is changing at exactly 2 hours after the drug was taken(3)

10.3How many hours after taking the drug will the rate at which the number of molecules of the drug in the bloodstream is changing, be a maximum?(3)
(8)
[{"prnt":"10","num":"10.1","answer":""},{"prnt":"10","num":"10.2","answer":""},{"prnt":"10","num":"10.3","answer":""}]