Let P be the total number of Covid-19 cases in South Africa¹ confirmed up to day 1, wherer Ois March 18, 2020. The figure below shows In P plotted against t. In P 12 10 m 8 6 4 2 0 20 40 60 80 100 120 14 In parts (a) and (b) use the fact that if we assume that South Africa's total number of Covid-19 cases confirmed up to day I grow exponentially r(days) P= Pe, with P and k constant, then the plot of y= In Pagainst r, with r on the horizontal axis, is the line y = In P+ kt. 1Smoothed from JHU CSSE COVID-19 data at github.com/CSSEGISandData/COVID-19, accessed July 5, 2020. (a) Estimate the continuous growth rates before and after the bend in the graph at about t= 10 days. Round your answers to one decimal place. Continuous daily growth rate before the bend: Continuous daily growth rate after the bend: i % %

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let P be the total number of Covid-19 cases in South Africa¹ confirmed up to day 1, wherer Ois March 18, 2020. The figure below
shows In P plotted against r.
In P
14
12
129
10
8
6
4
2
0
0 20 40 60 80 100 120
In parts (a) and (b) use the fact that if we assume that South Africa's total number of Covid-19 cases confirmed up to day I grow
exponentially
r (days)
P= P, with P, and k constant,
then the plot of y= In Pagainst r, with r on the horizontal axis, is the line y = In P + kr.
1Smoothed from JHU CSSE COVID-19 data at github.com/CSSEGISandData/COVID-19, accessed July 5, 2020.
(a) Estimate the continuous growth rates before and after the bend in the graph at about t ==
Round your answers to one decimal place.
Continuous daily growth rate before the bend: i
Continuous daily growth rate after the bend: i
%
%
10 days.
Transcribed Image Text:Let P be the total number of Covid-19 cases in South Africa¹ confirmed up to day 1, wherer Ois March 18, 2020. The figure below shows In P plotted against r. In P 14 12 129 10 8 6 4 2 0 0 20 40 60 80 100 120 In parts (a) and (b) use the fact that if we assume that South Africa's total number of Covid-19 cases confirmed up to day I grow exponentially r (days) P= P, with P, and k constant, then the plot of y= In Pagainst r, with r on the horizontal axis, is the line y = In P + kr. 1Smoothed from JHU CSSE COVID-19 data at github.com/CSSEGISandData/COVID-19, accessed July 5, 2020. (a) Estimate the continuous growth rates before and after the bend in the graph at about t == Round your answers to one decimal place. Continuous daily growth rate before the bend: i Continuous daily growth rate after the bend: i % % 10 days.
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