4. The function $D(h) = 8e^{-0.3h}$ can be used to find the number of milligrams D of a certain drug that is in a patient's bloodstream h hours after the drug has been administered. a. How many milligrams will be present after 4 hours? Write the answer in a complete sentence. b. When the number of milligrams reaches 1, the drug is to be administered again. After how many hours will the drug need to be administered? Write the answer in a complete sentence.
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So, the number of milligrams present after h hours will be D(h) = 8e^0.3h milligrams. Show more…
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The function D(h) = 8e^-0.3h can be used to find the number of milligrams D of a certain drug that is in a patient's bloodstream h hours after the drug has been administered. a. How many milligrams will be present after 4 hours? Write the answer in a complete sentence. b. When the number of milligrams reaches 1, the drug is to be administered again. After how many hours will the drug need to be administered? Write the answer in a complete sentence.
Kathleen C.
The function D(h) = 3e^(-0.57h) can be used to find the number of milligrams D of a certain drug that is in a patient's bloodstream h hours after the drug has been administered. How many milligrams will be present after 1 hour? After 10 hours? After 1 hour: After substituting h = 1 into the function, we can calculate the number of milligrams present after 1 hour as follows: D(1) = 3e^(-0.57 * 1) D(1) = 3e^(-0.57) D(1) ≈ 3 * 0.5686 D(1) ≈ 1.7058 milligrams After 10 hours: After substituting h = 10 into the function, we can calculate the number of milligrams present after 10 hours as follows: D(10) = 3e^(-0.57 * 10) D(10) = 3e^(-5.7) D(10) ≈ 3 * 0.0033 D(10) ≈ 0.0099 milligrams
The function $$D(h)=5 e^{-0.4 h}$$ can be used to find the number of milligrams $D$ of a certain drug that is in a patient's bloodstream $h$ hours after the drug has been administered. How many milligrams will be present after 1 hour? After 6 hours?
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