Solved: Absorption of drugs a liquid carries a drug into an organ, Mathematics

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Absorption of drugs a liquid carries a drug into an organ

Question: ABSORPTION OF DRUGS A liquid carries a drug into an organ of volume V cm3 at the rate of a cm3 /sec and leaves at the same rate. The concentration of the drug in the entering liquid is c g/cm3 . Letting x(t) denote the concentration of the drug in the organ at any time t, we have x(t) = c(1 - e^-at/V)

a. Show that x is an increasing function on (0, ∞).

b. Sketch the graph of x.

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Mathematics: Absorption of drugs a liquid carries a drug into an organ

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