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the concentration of a drug (in parts per million) in a patients bloods…

Question

the concentration of a drug (in parts per million) in a patients bloodstream t hours after administration of the drug is given by the function p(t)=-t^4 + 12t^3 - 58t^2 + 132t. the corresponding graph is shown to the right. complete parts a through d.
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 6 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.)

Explanation:

Step1: Analyze part b

We need to estimate from the graph.

Step2: Locate the peak on the graph

The peak of the graph represents the maximum concentration. By observing the graph, the y - value (concentration in ppm) at the peak is around 110.

Answer:

110