3. One of the ways society is trying to bring the pandemic under control is by vaccinatingpeople against the virus. The graph below shows the number of people vaccinated in SouthAfrica per day from the end of April to early in June. It is clear that the number of peoplebeing vaccinated per day has increased significantly over the past two months.02130, 2021Jur(Downloaded from https://www.statista.com/statistics/1231031/daily-number-of-covid-19-vaccination-doses-in-south-africa/ on 16.06.2021.)On 1 May 2021, 3,000 people were vaccinated and on 31 May 2021, 45,000 people werevaccinated.(n) Setting t = 0 on 1 May and t= 30 on 31 May, you want to find a function whosegraph looks similar to the shape above and has the same values of 3,000 at t= 0 and45,000 at t = 30. In each of (i) to (iv) below solve for the constants a and b so thatthe given function goes through the above points at t = 0 and t = 30.i. f(1) = at? + bii. 9(t) = aeiii. A(t) = a + bcosiv. j(t)1+ be-/0(b) For each of the four functions from (i) to (iv) in (a) caleulate the value of the derivativewhen t = 30. (Use the values for a and b that you calculated in (a).)(c) Based on your answers in (b), if you were the new Minister of Health, which functionwould you like to see as the function describing the number of people vaccinated perday? Explain.(d) Using the graph given above, draw a rough sketch showing the total number of peoplevaccinated since 1 May 2021 against time. Draw it on the same domain as the graphabove and explain clearly the reasons for the slope and concavity of your graph.(e) Your friend says that she expects that if you carry on beyond June 2021, the graphof the total number of people vaccinated since 1 May 2021 will change concavity atsome point in the future. Do you agree with her or not? Explain.(f) Only one of the functions (i) to (iv) above will give a graph of the total number ofpeople vaccinated from 1 May 2021 to 1 May 2022 that changes concavity. Whichfunction is that? Explain.(45 marka)May 4, 2021May 8, 2021May 12, 2021May 16, 2021May 20, 2021May 24, 2021May 28, 2021Jun 1, 2021Jun 5, 2021Jun 9,

Since you have posted many questions here, i can answer only first 3 subparts. Please repost…

Answered: i (1) - at +6 ii. 9(1) = ae iii. A(t)…

Math

Calculus

i (1) - at +6 ii. 9(1) = ae iii. A(t) =a + b cos iv. i(t)

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter87: An Introduction To G- And M-codes For Cnc Programming

Section: Chapter Questions

Problem 16A

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