A 8-meter by 12-meter swimming pool is filled with water. The depth is measured at 2-m intervals, starting at one corner of the pool, and the values are recorded in the table. Estimate the volume (in m³) of water in the pool. 0 2 4 6 8 02 1 1 1 1 1.6 m 1 1.6 2.1 2.9 3 1.8 1.5 4 6 8 1 2.1 2.7 2 2.4 1 3 2.8 1 3.6 2.3 2.7 1.5 10 12 3 3.5 3 4 3 3 2 3.2 2.5 2

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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A 8-meter by 12-meter swimming pool is filled with water. The depth is measured at 2-m intervals, starting at one corner of the
pool, and the values are recorded in the table. Estimate the volume (in m³) of water in the pool.
01
2
4
6
02
8
1
1
1
1
3
m
1.6
4
1.5
2.1
1
1.6 2.1 2.9
6810
1.8 2.7 3
2.4
1
2.8 3
1
3 3.5
2 2.3 2.7
1.5
3.6 4 3.2
3
12
2
3
3
2.5
2
Transcribed Image Text:A 8-meter by 12-meter swimming pool is filled with water. The depth is measured at 2-m intervals, starting at one corner of the pool, and the values are recorded in the table. Estimate the volume (in m³) of water in the pool. 01 2 4 6 02 8 1 1 1 1 3 m 1.6 4 1.5 2.1 1 1.6 2.1 2.9 6810 1.8 2.7 3 2.4 1 2.8 3 1 3 3.5 2 2.3 2.7 1.5 3.6 4 3.2 3 12 2 3 3 2.5 2
Evaluate the given integral. (Hint: Exploit the fact that D is symmetric with respect to both axes.)
(x² tan(x) + y² + 7) dA, where D = {(x, y) | x² + y² ≤ 5}
0
X
Transcribed Image Text:Evaluate the given integral. (Hint: Exploit the fact that D is symmetric with respect to both axes.) (x² tan(x) + y² + 7) dA, where D = {(x, y) | x² + y² ≤ 5} 0 X
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