A rectangular swimming pool is 44 ft wide by 75 ft long. The table gives depths (d) from x=0 at the shallow Ĵ 0 V= X d 44-d(x) dx. 0 5 10 15 7.2 8.2 8.9 40 45 50 55 65 60 70 75 25 20 30 35 9.5 10 10.5 10.9 11.3 11.7 12.1 12.4 12.7 13.1 13.4 13.7 The volume of the pool is ft³ (Round to the nearest integer as needed.)
A rectangular swimming pool is 44 ft wide by 75 ft long. The table gives depths (d) from x=0 at the shallow Ĵ 0 V= X d 44-d(x) dx. 0 5 10 15 7.2 8.2 8.9 40 45 50 55 65 60 70 75 25 20 30 35 9.5 10 10.5 10.9 11.3 11.7 12.1 12.4 12.7 13.1 13.4 13.7 The volume of the pool is ft³ (Round to the nearest integer as needed.)
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 rectangular swimming pool is 44 ft wide by 75 ft long. The table gives depth (d) from x=0 at the shallow end to the diving end. Use the trapezoidal rule with n = 15 to estimate the volume of the pool.
Transcribed Image Text:A rectangular swimming pool is 44 ft wide by 75 ft long. The table gives depths (d) from x = 0 at the shallow
Ĵ
0
V=
X
d
44.d(x) dx.
0
5
5
10
15
7.2 8.2 8.9
40 45 50 55
60
65
70
75
25
20
30
35
9.5 10 10.5 10.9 11.3 11.7 12.1 12.4 12.7 13.1 13.4 13.7
The volume of the pool is
ft³
(Round to the nearest integer as needed.)
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