Suppose that a liquid carries a drug with concentration 0.1 g/cc into a 400-cc organ at a rate of 5 cc/s and leaves the organ at the same rate. If initially there is 20 g of the drug in the organ, find the amount x of drug in the organ as a function of time t. (Assume that when the liquid leaves the organ the concentration of the drug is equal to its concentration in the organ.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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Suppose that a liquid carries a drug with concentration 0.1 g/cc into a 400-cc organ at a rate of 5 cc/s and leaves the organ at the same rate. If initially there is 20 g of the drug in the organ, find the amount x of drug in the organ as a function of time t. (Assume that when the liquid leaves the organ the concentration of the drug is equal to its concentration in the organ.)

 

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