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The table time (xi) 1 2 3 4 5 6 infections (yi = f(xi)) 32 37 34 48 53 69 depicts the number of newly infected individuals with a contagious, airborne disease at intervals of 1 day over a period of 6 days. Here i = 0, 1, 2, . . . , 5 and the quantities x0 = 1 and y0 = 32, respectively, represent the end of the first day of testing for the disease, and number of positive tests conducted by the end of that day. (Note: xi represents the end of a testing day, where the values of xi are as tabulated, while yi represents the number of positive tests conducted by the end of day xi.) (a) Construct a forward difference table for the above data

The table time (xi) 1 2 3 4 5 6 infections (yi = f(xi)) 32 37 34 48 53 69 depicts the number of newly infected individuals with a contagious, airborne disease at intervals of 1 day over a period of 6 days. Here i = 0, 1, 2, . . . , 5 and the quantities x0 = 1 and y0 = 32, respectively, represent the end of the first day of testing for the disease, and number of positive tests conducted by the end of that day. (Note: xi represents the end of a testing day, where the values of xi are as tabulated, while yi represents the number of positive tests conducted by the end of day xi.) (a) Construct a forward difference table for the above data

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The table


time (xi)                    1 2 3 4 5 6
infections (yi = f(xi))  32 37 34 48 53 69


depicts the number of newly infected individuals with a contagious, airborne disease at
intervals of 1 day over a period of 6 days. Here i = 0, 1, 2, . . . , 5 and the quantities x0 = 1
and y0 = 32, respectively, represent the end of the first day of testing for the disease, and
number of positive tests conducted by the end of that day.


(Note: xi represents the end of a testing day, where the values of xi are as tabulated, while
yi represents the number of positive tests conducted by the end of day xi.)

 

(a) Construct a forward difference table for the above data

 

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