1. ## maximun quantity

The quantity of a medication in the bloodstream t hours after it is ingested is given, in mg, by q(t) = 200te(-t). How much of the medication is in the bloodstream at time t = 0? What is the maximum quantity of the medication in the bloodstream and what is the corresponding time t?

2. Originally Posted by ab32
The quantity of a medication in the bloodstream t hours after it is ingested is given, in mg, by q(t) = 200te(-t). How much of the medication is in the bloodstream at time t = 0? What is the maximum quantity of the medication in the bloodstream and what is the corresponding time t?
Substitute t = 0.

Solve dq/dt = 0 for t. Substitute this value of t into q(t).

3. the deriv is -400te right??? when u plug 0 in i get zero ???? i think thats wrong??

4. Originally Posted by ab32
the deriv is -400te right??? when u plug 0 in i get zero ???? i think thats wrong??
Use the product rule to get the derivative of $\displaystyle 200 t e^{-t}$. Note that the derivative of $\displaystyle e^{-t}$ is $\displaystyle -e^{-t}$.