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

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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.