An individual is given a dose of Q units of a certain drug. the amount that remains in the bloodstream at the end of t minutes and Qe−ct, with c > 0. Suppose that the same dose is administered at successive intervals of T minutes. (a) Using series, express the amount A(k) of the drug in the bloodstream immediately after the K-th dose. (b) Find an upper bound for the amount of drug in the bloodstream after an arbitrary number of doses. (c) Find the shortest time between doses that ensures that A(k) does not exceed a certain level M, M > Q.
An individual is given a dose of Q units of a certain drug. the amount that remains in the bloodstream at the end of t minutes and Qe−ct, with c > 0. Suppose that the same dose is administered at successive intervals of T minutes. (a) Using series, express the amount A(k) of the drug in the bloodstream immediately after the K-th dose. (b) Find an upper bound for the amount of drug in the bloodstream after an arbitrary number of doses. (c) Find the shortest time between doses that ensures that A(k) does not exceed a certain level M, M > Q.
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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An individual is given a dose of Q units of a certain drug. the amount that remains in the bloodstream at the end of t minutes and Qe−ct, with c > 0. Suppose that the same dose is administered at successive intervals of T minutes.
(a) Using series, express the amount A(k) of the drug in the bloodstream immediately after the K-th dose.
(b) Find an upper bound for the amount of drug in the bloodstream after an arbitrary number of doses.
(c) Find the shortest time between doses that ensures that A(k) does not exceed a certain level M, M > Q.
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