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(a) What is a "7-day rolling average"? Explain what the graphs are showing. (b) Are C(t) and D(t) functions or not? Explain your answer. (c) Your friend looks at the graphs and says that it is strange because on 29 March 2020 the deaths are higher than the confirmed cases. So, more people are dying than are ill. Is this a true observation? Explain.

(a) What is a "7-day rolling average"? Explain what the graphs are showing. (b) Are C(t) and D(t) functions or not? Explain your answer. (c) Your friend looks at the graphs and says that it is strange because on 29 March 2020 the deaths are higher than the confirmed cases. So, more people are dying than are ill. Is this a true observation? Explain.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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1. Countries across the world have been reporting the number of people who are confirmed to have Covid-19 and the number of people who have died with the disense. The graphs below show such numbers for Italy between January and October 2020. The blue line depicts the number of confirmed cases of Covid-19 and the red line the number of deaths. We call these two C(t) and D(t) respectively, where t is time measured in days since 5 January 2020. (So t =0 is the start of 5 January 2020-Le. midnight on 4 January 2020 and t= 148 would be the start of June, midnight of 31 May 2020.) [Downloaded from https://newseu.egtn.com/on 12.01.2021.] ITALY CASES AND DEATHS SINCE JANUARY 2020 Total 7-day rolling average 20,000 16,000 16.000 900 14,000 12.000 701 10,000 500 4.000 100 30 Aug 13 5ep 27 Sep Deaths
Transcribed Image Text:1. Countries across the world have been reporting the number of people who are confirmed to have Covid-19 and the number of people who have died with the disense. The graphs below show such numbers for Italy between January and October 2020. The blue line depicts the number of confirmed cases of Covid-19 and the red line the number of deaths. We call these two C(t) and D(t) respectively, where t is time measured in days since 5 January 2020. (So t =0 is the start of 5 January 2020-Le. midnight on 4 January 2020 and t= 148 would be the start of June, midnight of 31 May 2020.) [Downloaded from https://newseu.egtn.com/on 12.01.2021.] ITALY CASES AND DEATHS SINCE JANUARY 2020 Total 7-day rolling average 20,000 16,000 16.000 900 14,000 12.000 701 10,000 500 4.000 100 30 Aug 13 5ep 27 Sep Deaths
(a) What is a "7-day rolling average"? Explain what the graphs are showing. (b) Are C(t) and D(t) functions or not? Explain your answer. (c) Your friend looks at the graphs and says that it is strange because on 29 March 2020 the deaths are higher than the confirmed cases. So, more people are dying than are ill. Is this a true observation? Explain. (d) Using the graphs estimate the death rates from Covid-19 on 29 March 2020 and on 11 October 2020. Provide four reasons that you think explain the difference between these two values. (e) Using the graph estimate the value of C'(76). Show all your working and explain what the answer tells us about the confirmed cases of Covid-19 in Italy at that time. 84 (f) Using areas on the graph, estimate the value of D(t)dt. Explain what this number 56 represents. (g) For the period from 1 March to 29 March 2020, D(t) seems to grow like an exponential function. (After that it changes, before that it is zero.) Taking r = 0 for 1 March 2020. I= 14 for 15 March 2020 and a = 28 for 29 March 2020, use the values on the red graph to calculate A and k so that the exponential function y = Ae* coincides with the red line at r = 14 and r = 28. Show all your working. (h) Sketch the graph of y = Aek using the values that you found for A and k above, for 0<I 28. Indicate a few points on the graph. (The graph you sketch will not be exactly the same as D(t) during March, but it should be quite similar.) %3D 28 (i) Calculate the integral Pe dr with the values for A and k above. Compare your 0. answer with your answer in (f) above. Explain any similarity or difference between these two numbers.
Transcribed Image Text:(a) What is a "7-day rolling average"? Explain what the graphs are showing. (b) Are C(t) and D(t) functions or not? Explain your answer. (c) Your friend looks at the graphs and says that it is strange because on 29 March 2020 the deaths are higher than the confirmed cases. So, more people are dying than are ill. Is this a true observation? Explain. (d) Using the graphs estimate the death rates from Covid-19 on 29 March 2020 and on 11 October 2020. Provide four reasons that you think explain the difference between these two values. (e) Using the graph estimate the value of C'(76). Show all your working and explain what the answer tells us about the confirmed cases of Covid-19 in Italy at that time. 84 (f) Using areas on the graph, estimate the value of D(t)dt. Explain what this number 56 represents. (g) For the period from 1 March to 29 March 2020, D(t) seems to grow like an exponential function. (After that it changes, before that it is zero.) Taking r = 0 for 1 March 2020. I= 14 for 15 March 2020 and a = 28 for 29 March 2020, use the values on the red graph to calculate A and k so that the exponential function y = Ae* coincides with the red line at r = 14 and r = 28. Show all your working. (h) Sketch the graph of y = Aek using the values that you found for A and k above, for 0<I 28. Indicate a few points on the graph. (The graph you sketch will not be exactly the same as D(t) during March, but it should be quite similar.) %3D 28 (i) Calculate the integral Pe dr with the values for A and k above. Compare your 0. answer with your answer in (f) above. Explain any similarity or difference between these two numbers.
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