## 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. (a) 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. (b) Write a differential equation satisfied by Q. (c) How many days does it take for the drug level in the body to be reduced to 25% of the original level?

Solution

Verified(a) The graph for the quantity $Q$ of the drug warfarin is plotted as below.

For the purpose of graph, we have assumed that initially the patient had $30$ mg of drug in the system. we can see from the graph that at $t = 37$ hours, the amount of drug is reduced to $15$ which is half the initial value.

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