The concentration of a drug (in parts per million) in a patient's bloodstream t hours after administration of the drug is given by the function P(t) = - A+10t3 – 581² + 165t. The corresponding graph is shown to the right. Complete parts a through d. 200- 160- 120- 80- 40- 0- Time (hr) a. Use the formula to determine when the drug will be totally eliminated from the bloodstream. The drug will be totally eliminated from the bloodstream in hours. (Simplify your answer.) b. Use the graph to estimate the maximum concentration of the drug. The maximum concentration of the drug is about ppm. (Round to the nearest integer as needed.) c. Use the graph to estimate the time at which the maximum concentration occurs. (udd) uogenueouo

The concentration of a drug (in parts per million) in a patient's bloodstream t hours after administration of the drug is given by the function P(t) = - A+10t3 – 581² + 165t. The corresponding graph is shown to the right. Complete parts a through d. 200- 160- 120- 80- 40- 0- Time (hr) a. Use the formula to determine when the drug will be totally eliminated from the bloodstream. The drug will be totally eliminated from the bloodstream in hours. (Simplify your answer.) b. Use the graph to estimate the maximum concentration of the drug. The maximum concentration of the drug is about ppm. (Round to the nearest integer as needed.) c. Use the graph to estimate the time at which the maximum concentration occurs. (udd) uogenueouo

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Question

The concentration of a drug (in parts per million) in a patient's bloodstream t hours after administration of the drug is given by the
function P(t) = - A +10t3 – 581² + 165t. The corresponding graph is shown to the right. Complete parts a through d.
200-
160-
120-
80-
40-
0-
4
Time (hr)
6
a. Use the formula to determine when the drug will be totally eliminated from the bloodstream.
The drug will be totally eliminated from the bloodstream in
(Simplify your answer.)
hours.
b. Use the graph to estimate the maximum concentration of the drug.
The maximum concentration of the drug is about
(Round to the nearest integer as needed.)
ppm.
c. Use the graph to estimate the time at which the maximum concentration occurs.
The maximum concentration occurs approximately
V hours after administration of the drug.
d. Use the graph to estimate the amount of time for which the concentration is above 120 ppm.
hour(s).
The approximate amount of time for which the concentration is above 120 ppm is
(Round to the nearest integer as needed.)

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