A hospital patient receives intravenously 17 units of a certain drug per hour. The drug is eliminated exponentially, so that the fraction that remains in the patients body for t hours is $f ( t ) = e ^ { - t / 14 }$ . If the treatment is continued indefinitely, approximately how many units of the drug will be in the patient's body in the long run? Round to two decimal places, if necessary.

Question

Quizplus · Accepted Answer

The Answer of A hospital patient receives intravenously 17 units of a certain drug per hour. The drug is eliminated exponentially, so that the fraction that remains in the patients body for t hours is $f ( t ) = e ^ { - t / 14 }$ . If the treatment is continued indefinitely, approximately how many units of the drug will be in the patient's body in the long run? Round to two decimal places, if necessary.

A Hospital Patient Receives Intravenously 17 Units of a Certain f(t)=e−t/14f ( t ) = e ^ { - t / 14 }f(t)=e−t/14

A Hospital Patient Receives Intravenously 17 Units of a Certain $f ( t ) = e ^ { - t / 14 }$