Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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.
Hint: A basic half-life equation would be in the form: M (1) = A(0.5)7
Where M(t)= final amount, A=initial amount, t= time, and h= half-life
1. Write a function that models the amount of medicine in Leland's system based on the number of
hours that have passed:
2. Approximately what amount of medicine will remain in Leland's system when 20 hours
have passed. (Show your equation)
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Transcribed Image Text: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. Hint: A basic half-life equation would be in the form: M (1) = A(0.5)7 Where M(t)= final amount, A=initial amount, t= time, and h= half-life 1. Write a function that models the amount of medicine in Leland's system based on the number of hours that have passed: 2. Approximately what amount of medicine will remain in Leland's system when 20 hours have passed. (Show your equation)
3. Leland learns that he will finally 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 OR sketch and
label your graph. ) (Hint: Use graphing technology to graph the line y = 1 along with your half-life
equation above. )
Approximately, when does Leeland stop feeling sleepy?
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Transcribed Image Text:3. Leland learns that he will finally 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 OR sketch and label your graph. ) (Hint: Use graphing technology to graph the line y = 1 along with your half-life equation above. ) Approximately, when does Leeland stop feeling sleepy?
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