2. In the first quarter of 2077, a highly-infectious strain of virus emerged from a melting ice cap due to climate change which prompted a global pandemic. Virologists had estimated that, on day t of the pandemic, the number of infection cases is changing at the rate of (77) (e(√²-¹) + sin(√t − 1) + (√t − 1)³) cases per day. Given that 501 cases have been reported on the first day of the pandemic, determine the number of infection cases on the 100th day of the pandemic. Round your final answer to the nearest whole number.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. In the first quarter of 2077, a highly-infectious strain of virus emerged from a melting
ice cap due to climate change which prompted a global pandemic. Virologists had
estimated that, on day t of the pandemic, the number of infection cases is changing
at the rate of
(2√7) (e(√²-1) + sin(√t − 1) + (√t − 1)³)
cases per day. Given that 501 cases have been reported on the first day of the
pandemic, determine the number of infection cases on the 100th day of the pandemic.
Round your final answer to the nearest whole number.
Transcribed Image Text:2. In the first quarter of 2077, a highly-infectious strain of virus emerged from a melting ice cap due to climate change which prompted a global pandemic. Virologists had estimated that, on day t of the pandemic, the number of infection cases is changing at the rate of (2√7) (e(√²-1) + sin(√t − 1) + (√t − 1)³) cases per day. Given that 501 cases have been reported on the first day of the pandemic, determine the number of infection cases on the 100th day of the pandemic. Round your final answer to the nearest whole number.
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