The function D(h) = 9e^(0.4h) can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams (to two decimals) will be present after 8 hours?
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We are given the function D(h) = 9e^{0.4h} to find the milligrams of the drug in the patient's bloodstream after h hours. Show more…
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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
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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 was administered. When the number of milligrams reaches $2,$ the drug is to be administered again. What is the time between injections?
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