the concentration C of a certain chemical in the bloodstream t hours after injection into muscle tissue is given by C=3t/27+t^3, t=0.

a) when is the concentration greatest?
b)what is the greatest concentration?
c)what is lowest concentration and when does the lowest concentration occur?

Question

the concentration C of a certain chemical in the bloodstream t hours after injection into muscle tissue is given by C=3t/27+t^3, t>=0. 

a) when is the concentration greatest?
b)what is the greatest concentration?
c)what is lowest concentration and when does the lowest concentration occur?

agent0smith · Answer

Are you sure your equation is written correctly? The concentration just keeps increasing with time, with that formula...

anonymous · Answer

Perhaps it's
$$\frac{3t}{27 + t^3}$$
after all?

agent0smith · Answer

That'd make a whole lot more sense. If you're in calculus, you can prob use differentiation to find the max concentration.

agent0smith · Answer

I'd help more but need sleep. Here's a graph for you to check your answers to a and b once you get them... https://www.google.com/search?q=3t%2F(27%2Bt%5E3)&oq=3t%2F(27%2Bt%5E3)&aqs=chrome.0.57j62l3.3944&sourceid=chrome&ie=UTF-8