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Drug Medication The function

D(h)=5e-0.4h

can be used to find the number of milligrams of a certain drug that is in a patient's bloodstream hours after the drug has been administered. How many milligrams will be present after 1 hour? After 6 hours?

Short Answer

Expert verified

D(1)=0.35mgD(6)=0.45mg

Step by step solution

01

Step 1.Given information

Given drug medication function

D(h)=5e-0.4h

02

Step 2.Determine the value of D(1)

Substitute 1 for h in the given function.

D(1)=5e(0.4)1=5e0.4=5(0.6703)=3.35

So, a patient's bloodstream will have 3.35mmof the drug after 1 hour.

03

Step 3.Determine the value of D(6)

Replace h with 6 in the given function.

D(6)=5e(0.4)6=5e-2.4=5(0.0907)=0.45

Therefore, 0.45mgof the drug will be present in a patient's bloodstream after 6 hours.

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