On 1 May 2021, 3,000 people were vaccinated and on 31 May 2021, 45,000 people were vaccinated. (n) Sotting t 0 on 1 May and t 30 on 31 May, you want to find a function whose graph looks similar to the shape above and has the same values of 3,000 at t 0 and 45,000 at t= 30. In each of (i) to (iv) below solve for the constants a and b so that the given function goes through the above points at t (0 and t 30. i. (1) = at + 6 il. 9(t) = ae iii. h(t) =a + bcos iv. j(t) = 1+ be-10 (b) For each of the four functions from (1) to (iv) in (a) caleulate the value of the derivative when t= 30. (Use the values for a and b that you calculated in (a).)
On 1 May 2021, 3,000 people were vaccinated and on 31 May 2021, 45,000 people were vaccinated. (n) Sotting t 0 on 1 May and t 30 on 31 May, you want to find a function whose graph looks similar to the shape above and has the same values of 3,000 at t 0 and 45,000 at t= 30. In each of (i) to (iv) below solve for the constants a and b so that the given function goes through the above points at t (0 and t 30. i. (1) = at + 6 il. 9(t) = ae iii. h(t) =a + bcos iv. j(t) = 1+ be-10 (b) For each of the four functions from (1) to (iv) in (a) caleulate the value of the derivative when t= 30. (Use the values for a and b that you calculated in (a).)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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