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
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
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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