Problem 1. The concentration C of a drug in the blood (in mg per liter) following its
injection is a function of the dose x (in mg) and the time t (in hours) since the injection:
C = xte−t
(a) Find C|
(x,t)=(5,1). What does this tell you about the concentration of drug in the
blood stream?
(b) Find a formula for the section where x = 5 and use it to find
∂C
∂t
(x,t)=(5,1)
What are the units? What does this value tell you about the concentration of drug
in the blood stream?
(c) Find a formula for the section where t = 1 and use it to find
∂C
∂x
(x,t)=(5,1)
What are the units? What does this value tell you about the concentration of drug
in the blood stream?
