On the early detection period of COVID-19, there were 557 people verified to have been infected by the virus. This rate of increase is modeled using the differential equation below, with N being the number of people, and t for the time elapsed (in days) since it was detected on January 22, 2020. dN = (37602 – 1002.42t +14.6982t² – 0.0204t³)dt With the creation of the vaccines, the modeled equation shifted to the one below. The variable Nm is the number of people still infected due to mishandling of the vaccine, resulting to unavailability for some countries. dNm = (42023 – 1155.8t + 15.8388t² – 0.0228t³)dt Determine the number of people that can be saved by the vaccine if it is to be administered on March 8, 2021, on the assumption that no side-effects and complications will be triggered.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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On the early detection period of COVID-19, there were 557 people verified to have been infected by the virus. This rate
of increase is modeled using the differential equation below, with N being the number of people, and t for the time
elapsed (in days) since it was detected on January 22, 2020.
dN = (37602 – 1002.42t + 14.6982t² – 0.0204t³)dt
With the creation of the vaccines, the modeled equation shifted to the one below. The variable Nm is the number of
people still infected due to mishandling of the vaccine, resulting to unavailability for some countries.
dNm = (42023 – 1155.8t + 15.8388t2 – 0.0228t³)dt
Determine the number of people that can be saved by the vaccine if it is to be administered on March 8, 2021, on the
assumption that no side-effects and complications will be triggered.
Transcribed Image Text:On the early detection period of COVID-19, there were 557 people verified to have been infected by the virus. This rate of increase is modeled using the differential equation below, with N being the number of people, and t for the time elapsed (in days) since it was detected on January 22, 2020. dN = (37602 – 1002.42t + 14.6982t² – 0.0204t³)dt With the creation of the vaccines, the modeled equation shifted to the one below. The variable Nm is the number of people still infected due to mishandling of the vaccine, resulting to unavailability for some countries. dNm = (42023 – 1155.8t + 15.8388t2 – 0.0228t³)dt Determine the number of people that can be saved by the vaccine if it is to be administered on March 8, 2021, on the assumption that no side-effects and complications will be triggered.
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