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The function ?(ℎ) = LaTeX: 4e^{-0.8h}4 e − 0.8 h can be used to find the...

The function ?(ℎ) = LaTeX: 4e^{-0.8h}4 e − 0.8 h can be used to find the number of milligrams D of a certain drug that is in the patient’s bloodstream h hours after the drug has been administered. How long until there is only 0.02 milligrams left in the patient's bloodstream?

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Answer #1

Solution:

is the function which can be used to find the number of milligrams D of a certain drug that is in the patient's bloodstream h hours after the drug has been administered.

Put D(h) = 0.02 to find the time when drug is only 0.02 milligrams left in patient's bloodstream

-4.605 - 0.693 = -0.8h

-5.298 = -0.8h

h = 6.6225 hours

Therefore, after 6 hours and 37 minutes, there will be 0.02 mg of drug left in patient's bloodstream.

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