The amount A of a drug remaining in a body t hours after an injection decreases at a rate proportional to the amount dA = - kA. The amount of a certain drug decreases at a rate of dt present. This suggests the differential equation 8 percent per hour. Find the amount of the drug remaining in the body 3 hours after an injection of 29 cc of the drug. Round your answer to two decimal places.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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The amount A of a drug remaining in a body t hours after an injection decreases at a rate proportional to the amount
dA
present. This suggests the differential equation
dt
- kA. The amount of a certain drug decreases at a rate of
8 percent per hour. Find the amount of the drug remaining in the body 3 hours after an injection of 29 cc of the
drug. Round your answer to two decimal places.
Transcribed Image Text:The amount A of a drug remaining in a body t hours after an injection decreases at a rate proportional to the amount dA present. This suggests the differential equation dt - kA. The amount of a certain drug decreases at a rate of 8 percent per hour. Find the amount of the drug remaining in the body 3 hours after an injection of 29 cc of the drug. Round your answer to two decimal places.
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