Thread: 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?

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).

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

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 . Note that the derivative of is .