Consider the concentration, $C$, in mg per liter (L), of a drug in the blood as a function of $x$, the amount, in mg, of the drug given and $t$, the time in hours since the injection. For $0 \leq x \leq 2$ and $t \geq 0$, we have $C = f(x,t) = t e^{-t(3-x)}$.

Graph the following two single variable functions on a separate page, being sure that you can explain their significance in terms of drug concentration.
(a) $f(1,t)$

(b) $f(x,2.5)$

Using your graph in (a), where is $f(1,t)$
a maximum? $t =$
a minimum? $t =$

Using your graph in (b), where is $f(x,2.5)$
a maximum? $x =$
a minimum? $x =$