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 as follows.
Time t
N(t)
(hr)
(mg)
0
0
0.5
246.5
1
266
1.5
236.9
2
178.1
2.5
115.9
Use the trapezoidal rule to approximate the average number of milligrams in the bloodstream during the first hours and round your answer to two decimal places.
?
A. 433.60 mg
B. 197.09 mg
C. 123.18 mg
D. 256.22 mg
E. 335.05 mg
Answer: B
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