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 constan

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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?

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