ACCUMULATION OF MEDICATION Jodie Michaels, a patient in a hospital, is being given an injection of
A
units of a certain drug every
h
hours. The drug is eliminated exponentially from her body so that
t
hours after each injection is administered, the fraction that remains is
f(t)=e^(-rt)
, where
r
is a positive constant (called the elimination constant).
a. If this treatment is continued indefinitely, how many total units
T
of the drug will eventually accumulate in Jodie's body?
b. Suppose a physician determines that the accumulated amount of drug
T
found in part (a) is
20%
too much for Jodie's safety. Assuming that the elimination constant
r
is a fixed characteristic of Jodie's body, how should
h
be adjusted to guarantee that the amount of accumulated drug does not become unsafe?
Can I get step by step explanation and calculation please?