Leland got stung by a bee at a picnic. He took a 50 milligram dose of medicine to help relieve the swelling and itching. The medicine has a half-life of 8 hours. He was very sleepy the rest of the day and wondered how long the medicine would stay in his system. 1. Leland learns that he will fi nally stop feeling sleepy from his medicine when there is less than 1 milligram of the medicine in his system. When will that be? Show your work. 2. What percent of medicine remains in Leland’s system after each hour? Show your work. 3. When will the medicine be completely out of Leland’s system? Explain your thinking.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Leland got stung by a bee at a picnic. He took a 50 milligram dose of medicine to help relieve the
swelling and itching. The medicine has a half-life of 8 hours. He was very sleepy the rest of the day
and wondered how long the medicine would stay in his system.
1. Leland learns that he will fi nally stop feeling sleepy from his medicine when there is less than 1
milligram of the medicine in his system. When will that be? Show your work.
2. What percent of medicine remains in Leland’s system after each hour? Show your work.
3. When will the medicine be completely out of Leland’s system? Explain your thinking.

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