## Related questions with answers

Warfarin is a drug used as an anticoagulant. After administration of the drug is stopped, the quantity remaining in a patient's body decreases at a rate proportional to the quantity remaining. The half-life of warfarin in the body is 37 hours. Sketch the quantity, Q, of warfarin in a patient's body as a function of the time, t, since stopping administration of the drug. Mark the 37 hours on your graph .

Solution

VerifiedSince it was mentioned that the quantity $Q$ of warfarin remaining in the body decreases at a rate proportional to the quantity of warfarin remaining in the body, it will have the following differential equation:

$\frac{dQ}{dt} = -kQ$

and the following general solution:

$Q(t) = Q_{0} e^{-kt}$

where $k$ is some constant of proportionality.

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