The rate of change r(t) (in thousands of articles per year) of the total number of research articles in a prominent journal written by researchers in the United States is shown in the following graph. Here, t is time in years (t= 0 represents the start of 1983). 20 15 10 5 t 2 4 6 8 10 12 14 16 18 20 22 24 (a) Use both left and right Riemann sums with six subdivisions to estimate the total number of articles (in thousands) in the journal written by researchers in the United States during the 12-year period beginning at the start of 1993. (Estimate each value of r(t) to the nearest 1.25.) left sum right sum thousand articles thousand articles
The rate of change r(t) (in thousands of articles per year) of the total number of research articles in a prominent journal written by researchers in the United States is shown in the following graph. Here, t is time in years (t= 0 represents the start of 1983). 20 15 10 5 t 2 4 6 8 10 12 14 16 18 20 22 24 (a) Use both left and right Riemann sums with six subdivisions to estimate the total number of articles (in thousands) in the journal written by researchers in the United States during the 12-year period beginning at the start of 1993. (Estimate each value of r(t) to the nearest 1.25.) left sum right sum thousand articles thousand articles
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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Transcribed Image Text:The rate of change r(t) (in thousands of articles per year) of the total number of research articles in a prominent journal written by researchers in the United States is shown
in the following graph.
Here, t is time in years (t= 0 represents the start of 1983).
20
15
10
t
2 4 6 8 10 12 14 16 18 20 22 24
(a) Use both left and right Riemann sums with six subdivisions to estimate the total number of articles (in thousands) in the journal written by researchers in the United
States during the 12-year period beginning at the start of 1991. (Estimate each value of r(t) to the nearest 1.25.)
left sum
right sum
thousand articles
thousand articles
Transcribed Image Text:(b) Use the answers from part (a) to obtain an estimate of
[r).
Interpret the result.
Since r(t) is given in thousands of articles per year, we conclude that a total of about
-year period beginning 1993.
the
articles in the journal were written by researchers in the U.S. in
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