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The manufacturer of a medicine wants to test how a new 300-milligram capsule is released into the bloodstream. After a volunteer is given a capsule,
The manufacturer of a medicine wants to test how a new 300-milligram capsule is released into the bloodstream. After a volunteer is given a capsule, blood samples are drawn every half-hour, and the number of milligrams of the drug in the bloodstream is calculated. The results obtained are shown in the table. (Round your answers to one decimal place.) Time t (hr) N(t) (mg) Time t (hr) N(t) (mg) 0 0 2.0 175.6 0.5 244.6 2.5 111.2 1.0 267.3 3.0 53.5 1.5 233.7 3.5 16.6 Use 7 rectangles, each with height N(t) at the left endpoint and with width 0.5 hr, to estimate the area under the graph representing these data. 551.25 x Divide this area by 3.5 hr to estimate the average drug level over this time period. 157.5 x mg
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