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2. A flu patient is prescribed a course of an antivirus drug. The number of mg of the drug in the bloodstream t hours after the first dose is taken is given by the function A(t) = 400te-³. a. Sketch the graph of the function in an appropriate window, labeling axes and scale. I b. On what interval(s) is the amount of drug in the bloodstream increasing? Decreasing? c. When is the amount of the drug at a maximum? Label the corresponding point on the graph.

2. A flu patient is prescribed a course of an antivirus drug. The number of mg of the drug in the bloodstream t hours after the first dose is taken is given by the function A(t) = 400te-³. a. Sketch the graph of the function in an appropriate window, labeling axes and scale. I b. On what interval(s) is the amount of drug in the bloodstream increasing? Decreasing? c. When is the amount of the drug at a maximum? Label the corresponding point on the graph.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. A flu patient is prescribed a course of an antivirus drug. The number of mg of the drug in the bloodstream t hours after the first dose is taken is given by the function A(t) = 400te-³t. a. Sketch the graph of the function in an appropriate window, labeling axes and scale. I b. On what interval(s) is the amount of drug in the bloodstream increasing? Decreasing? c. When is the amount of the drug at a maximum? Label the corresponding point on the graph.
Transcribed Image Text:2. A flu patient is prescribed a course of an antivirus drug. The number of mg of the drug in the bloodstream t hours after the first dose is taken is given by the function A(t) = 400te-³t. a. Sketch the graph of the function in an appropriate window, labeling axes and scale. I b. On what interval(s) is the amount of drug in the bloodstream increasing? Decreasing? c. When is the amount of the drug at a maximum? Label the corresponding point on the graph.
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