important plz i have a test tomorrow (1 Viewer)

[skool :(]

plzzz can someone solve this question? its in the fitzpatrick book.
it says:
the concentration of a certain drug in the blood at time t hours after taking the dose is x units, where x=0.3te^(-1.1t). determine the maximum concentration and the time at which it is reached. The drug kills germs only if its concentration exceeds 0.06 units. Find the length of time during which the drug is able to kill the germs.
PLZZZZZZZZZZZZZZZZZ i need this answer as quickly as possible and how u worked it out plzzzzzzzzzz i hav the test 2morrow first thing in the morning. THANXXXXXXX bye

 

[mitochondria]

for a) find dX/dt and let it be zero, check the answer you get is the maximum and

for b) substitude 0.06 for x

Hope that helps Good luck!

 

[ensignkim113]

to determine the maximum, find dx/dt and make it equal to zero. You'll then get a t-value. Find d2x/dt2 and sub in the t-value (it shoul be negative if it is a maximum). You can then state this t-value as the maximum.

To determine when it kills germs make x>0.06. i.e. 0.3te^-1.1t>0.06 and then solve for t.