43-44. Periodic doses Suppose you take a dose of m mg of a particular medication once per day. Assume f equals the fraction of the medica- tion that remains in your blood one day later. Just after taking another dose of medication on the second day, the amount of medication in your blood equals the sum of the second dose and the fraction of the first dose remaining in your blood, which is m + mf. Continuing in this fashion, the amount of medication in your blood just after your nth dose is A, = m + mf + · .·+ mf²-!. For the given values off and m, calculate Ag, A10- A3g. and lim A Interpret the meaning of the limit lim Ar f = 0.25, m = 200 mg

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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43-44. Periodic doses Suppose you take a dose of m mg of a particular
medication once per day. Assume f equals the fraction of the medica-
tion that remains in your blood one day later. Just after taking another
dose of medication on the second day, the amount of medication in
your blood equals the sum of the second dose and the fraction of the
first dose remaining in your blood, which is m + mf. Continuing in
this fashion, the amount of medication in your blood just after your nth
dose is A, = m + mf + · .·+ mf²-!. For the given values off and
m, calculate Ag, A10- A3g. and lim A Interpret the meaning of the limit
lim Ar
f = 0.25, m = 200 mg
Transcribed Image Text:43-44. Periodic doses Suppose you take a dose of m mg of a particular medication once per day. Assume f equals the fraction of the medica- tion that remains in your blood one day later. Just after taking another dose of medication on the second day, the amount of medication in your blood equals the sum of the second dose and the fraction of the first dose remaining in your blood, which is m + mf. Continuing in this fashion, the amount of medication in your blood just after your nth dose is A, = m + mf + · .·+ mf²-!. For the given values off and m, calculate Ag, A10- A3g. and lim A Interpret the meaning of the limit lim Ar f = 0.25, m = 200 mg
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