Inspectors are investigating the carbon dioxide emissions of a power plant. Let R be the rate, in tonnes per hour, at which carbon dioxide is being emitted and be the time in hours since the inspection began. When R is plotted against t, the total amount of carbon dioxide produced is represented by the area between the graph and the horizontal t-axis. The rate, R, is measured over the course of two hours. The results are shown in the following table. (a) t0 0.4 0.8 1.2 1.6 2 30 50 60 40 20 50 R Use the trapezoidal rule with an interval width of 0.4 to estimate the total amount of carbon dioxide emitted during these two hours. The real amount of carbon dioxide emitted during these two hours was 72 tonnes. (b) Find the percentage error of the estimate found in part (a).
Inspectors are investigating the carbon dioxide emissions of a power plant. Let R be the rate, in tonnes per hour, at which carbon dioxide is being emitted and be the time in hours since the inspection began. When R is plotted against t, the total amount of carbon dioxide produced is represented by the area between the graph and the horizontal t-axis. The rate, R, is measured over the course of two hours. The results are shown in the following table. (a) t0 0.4 0.8 1.2 1.6 2 30 50 60 40 20 50 R Use the trapezoidal rule with an interval width of 0.4 to estimate the total amount of carbon dioxide emitted during these two hours. The real amount of carbon dioxide emitted during these two hours was 72 tonnes. (b) Find the percentage error of the estimate found in part (a).
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:Inspectors are investigating the carbon dioxide emissions of a power plant. Let R be the rate,
in tonnes per hour, at which carbon dioxide is being emitted and t be the time in hours since
the inspection began.
When R is plotted against t, the total amount of carbon dioxide produced is represented by
the area between the graph and the horizontal t-axis.
The rate, R, is measured over the course of two hours. The results are shown in the
following table.
(a)
t
R
0 0.4 0.8 1.2 1.6 2
30 50
60 40 20 50
Use the trapezoidal rule with an interval width of 0.4 to estimate the total amount of
carbon dioxide emitted during these two hours.
The real amount of carbon dioxide emitted during these two hours was 72 tonnes.
(b) Find the percentage error of the estimate found in part (a).
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