In the spring of 2003, SARS (Severe Acute Respiratory Syndrome) spread rapidly in several Asian countries. A logistic function modeling the spread of the disease in Hong Kong is given by 1760 P(t) = 1+ 17.53e-0.14t where t is measured in days since March 17, 2003 and P is the number of reported cases. Identify the month, day, and year that this model predicts the number of new cases will be growing at the largest rate. Remember to fully justify your answer. You may wish to make use of the fact that there are 31 days in March.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In the spring of 2003, SARS (Severe Acute Respiratory Syndrome) spread rapidly in
several Asian countries. A logistic function modeling the spread of the disease in
Hong Kong is given by
1760
P(t) =
1 + 17.53e-0.14t
where t is measured in days since March 17, 2003 and P is the number of reported
cases.
Identify the month, day, and year that this model predicts the number of new cases
will be growing at the largest rate. Remember to fully justify your answer. You may
wish to make use of the fact that there are 31 days in March.
Transcribed Image Text:In the spring of 2003, SARS (Severe Acute Respiratory Syndrome) spread rapidly in several Asian countries. A logistic function modeling the spread of the disease in Hong Kong is given by 1760 P(t) = 1 + 17.53e-0.14t where t is measured in days since March 17, 2003 and P is the number of reported cases. Identify the month, day, and year that this model predicts the number of new cases will be growing at the largest rate. Remember to fully justify your answer. You may wish to make use of the fact that there are 31 days in March.
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