1. The half-life of morphine in the human bloodstream is 3 hours. Suppose there is initially 0.4 mg of morphine in the bloodstream. (a) Determine an equation for m(t), the amount of morphine in the bloodstream at time t, assuming that the amount decays at a rate proportional to its size. Simplify your final equation. (b) (b) How long will it take for the amount to drop below 0.01 mg? Round your answer to the closest hour.
1. The half-life of morphine in the human bloodstream is 3 hours. Suppose there is initially 0.4 mg of morphine in the bloodstream. (a) Determine an equation for m(t), the amount of morphine in the bloodstream at time t, assuming that the amount decays at a rate proportional to its size. Simplify your final equation. (b) (b) How long will it take for the amount to drop below 0.01 mg? Round your answer to the closest hour.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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1. The half-life of morphine in the human bloodstream is 3 hours. Suppose there is initially 0.4 mg of morphine in
the bloodstream.
(a) Determine an equation for m(t), the amount of morphine in the bloodstream at time t, assuming that the amount decays at a rate proportional to its size. Simplify your final equation.
(b) (b) How long will it take for the amount to drop below 0.01 mg? Round your answer to the closest hour.
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