Use Simpson's Rule to determine the average temperature in a museum over a 3-hour period if the temperatures (in degrees Celsius) recorded at 15-min intervals are 21, 21.4, 21.5, 21.6, 21.6, 21.1, 20.8, 20.5, 20.9, 21.3, 21.1, 21.4, 21.2. (Use decimal notation. Give your answer to three decimal places.) Tave

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use Simpson's Rule to determine the average temperature in a museum over a 3-hour period if the temperatures (in degrees
Celsius) recorded at 15-min intervals are 21, 21.4, 21.5, 21.6, 21.6, 21.1, 20.8, 20.5, 20.9, 21.3, 21.1, 21.4, 21.2.
(Use decimal notation. Give your answer to three decimal places.)
Tave
°C
Transcribed Image Text:Use Simpson's Rule to determine the average temperature in a museum over a 3-hour period if the temperatures (in degrees Celsius) recorded at 15-min intervals are 21, 21.4, 21.5, 21.6, 21.6, 21.1, 20.8, 20.5, 20.9, 21.3, 21.1, 21.4, 21.2. (Use decimal notation. Give your answer to three decimal places.) Tave °C
Find a bound for the error in the approximation M20 to the given integral (but do not calculate M₂0).
π/3
1.0²5
(Use decimal notation. Round your answer to five decimal places.)
5 cos(x) dx
Error(M₂0) <
Transcribed Image Text:Find a bound for the error in the approximation M20 to the given integral (but do not calculate M₂0). π/3 1.0²5 (Use decimal notation. Round your answer to five decimal places.) 5 cos(x) dx Error(M₂0) <
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