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 2.0 178.6 0.5 247.6 2.5 114.2 1.0 270.3 3.0 56.5 1.5 236.7 3.5 19.6 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. Divide this area by 3.5 hr to estimate the average drug level over this time period.
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 2.0 178.6 0.5 247.6 2.5 114.2 1.0 270.3 3.0 56.5 1.5 236.7 3.5 19.6 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. Divide this area by 3.5 hr to estimate the average drug level over this time period.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter62: Volumes Of Prisms And Cylinders
Section: Chapter Questions
Problem 34A
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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, 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 | 178.6 |
| 0.5 | 247.6 | 2.5 | 114.2 |
| 1.0 | 270.3 | 3.0 | 56.5 |
| 1.5 | 236.7 | 3.5 | 19.6 |
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.
Divide this area by 3.5 hr to estimate the average drug level over this time period.
mg
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