The curve below shows the rate t, in hours, that a tank is leaking. To find the total amount of material leaked in gallons, estimate the T definite integral v(t)dt, where T is the total number of hours, by 0 adding the areas of rectangles with widths of 1 hour. The height of each rectangle will be the left endpoint of the interval. Rate in gallons per hour 800- 700- 600- 500- 400- 300- 200- 100- HIIHTO 0 T 6 2 4 Elapsed time in hours 8 The estimated amount of material leaked after 8 hours is (Round to the nearest hundred as needed.) gal.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The curve below shows the rate t, in hours, that a tank is leaking.
To find the total amount of material leaked in gallons, estimate the
T
definite integral v(t)dt, where T is the total number of hours, by
0
adding the areas of rectangles with widths of 1 hour. The height of
each rectangle will be the left endpoint of the interval.
Rate in gallons per hour
800-
700-
600-
500-
400-
300-
200-
100-
0+
T
2
4
6
Elapsed time in hours
-∞
8
Q
The estimated amount of material leaked after 8 hours is
(Round to the nearest hundred as needed.)
gal.
Transcribed Image Text:The curve below shows the rate t, in hours, that a tank is leaking. To find the total amount of material leaked in gallons, estimate the T definite integral v(t)dt, where T is the total number of hours, by 0 adding the areas of rectangles with widths of 1 hour. The height of each rectangle will be the left endpoint of the interval. Rate in gallons per hour 800- 700- 600- 500- 400- 300- 200- 100- 0+ T 2 4 6 Elapsed time in hours -∞ 8 Q The estimated amount of material leaked after 8 hours is (Round to the nearest hundred as needed.) gal.
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