QUESTION 10 The number of molecules of the Johnson and Johnson COVID 19 vaccine in the bloodstream t hours after it has been taken is represented by the equation M(t) = -t³ + 3t² + 72t,0 < t < 10. 10.1 Determine the number of molecules of the vaccine in the bloodstream five hours after the vaccine is taken. (2) 10.2 Determine the rate at which the number of molecules of the vaccine in the bloodstream is changing exactly 2 hours after the vaccine was taken. (3) 10.3 How many hours after taking the vaccine will the rate at which the number of molecules of the vaccine in the bloodstream is changing be a maximum? (3)
