Injection: If mo milligrams of a drug are injected into the bloodstream, then the amount left after time t follows basic exponential decay, so m(t) = moe¬kt. The constant k is called the rate constant. 1. Ibuprofen has a relatively short half-life of 1.5 hours. If you inject (or take) 400 mg of ibuprofen, how much is left after 3 hours? (No equations necessary.)

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. After 3 hours, Ibuprofen is at 100mg

2. m(t)=400e^−0.462t, K=0.462

Injection: If mo milligrams of a drug are injected into the bloodstream, then the amount left after
time t follows basic exponential decay, so m(t) = moe¬kt. The constant k is called the rate constant.
1. Ibuprofen has a relatively short half-life of 1.5 hours. If you inject (or take) 400 mg of
ibuprofen, how much is left after 3 hours? (No equations necessary.)
Transcribed Image Text:Injection: If mo milligrams of a drug are injected into the bloodstream, then the amount left after time t follows basic exponential decay, so m(t) = moe¬kt. The constant k is called the rate constant. 1. Ibuprofen has a relatively short half-life of 1.5 hours. If you inject (or take) 400 mg of ibuprofen, how much is left after 3 hours? (No equations necessary.)
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