Drug levels in the blood The manufacturer of a medicine wants to test how a new 300-mg 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.
Time t (hr) | N(t) (mg) | Time t (hr) | N(t) (mg) |
0 | 0 | 2.0 | 178.3 |
0.5 | 247.3 | 2.5 | 113.9 |
1.0 | 270.0 | 3.0 | 56.2 |
1.5 | 236.4 | 3.5 | 19.3 |
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. Divide this area by 3.5 hr to estimate the average drug level over this time period.
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