Suppose a patient is injected with a certain drug, and the concentration in the blood- stream is detected by a monitor thirty seconds after injection. Suppose the peak concentration is reached around 1.3591 minutes. The concentration of the drug in the bloodstream of the patient can be modeled by In(2t) C(t) = t where t is in minutes and C(t) is measured in mg/cm³. Show all steps by hand that the average concentration of the drug in the patient's bloodstream from first detected to 2 minutes is (In 2)², i.e., evaluate the definite integral 1 C(t) dt - a
Suppose a patient is injected with a certain drug, and the concentration in the blood- stream is detected by a monitor thirty seconds after injection. Suppose the peak concentration is reached around 1.3591 minutes. The concentration of the drug in the bloodstream of the patient can be modeled by In(2t) C(t) = t where t is in minutes and C(t) is measured in mg/cm³. Show all steps by hand that the average concentration of the drug in the patient's bloodstream from first detected to 2 minutes is (In 2)², i.e., evaluate the definite integral 1 C(t) dt - a
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Suppose a patient is injected with a certain drug, and the concentration in the bloodstream is detected by a monitor thirty seconds after injection. Suppose the peak concentration is reached around 1.3591 minutes. The concentration of the drug in the bloodstream of the patient can be modelled by
c(t)= ln(2t)/t
where t is in minutes and C(t) is measured in mg/cm3. Show all steps by hand that the average concentration of the drug in the patient’s bloodstream from first detected to 2 minutes is4/3 (ln 2)2, i.e., evaluate the definite
the equation in the image
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