A rectangular swimming pool is 42 ft wide by 75 ft long. The table gives depths (d) from x = 0 at the shallow end to the diving end. Use the Trapezoidal Rule with 75 n = 15 to estimate the volume of the pool, V = S42.d(x) dx. 0 x 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 d 4.4 6.6 7.6 8.3 8.9 9.4 9.9 10.3 10.7 11.1 11.5 11.8 12.1 12.5 12.8 13.1 The volume of the pool is ft³ (Round to the nearest integer as needed.)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 14P
icon
Related questions
Question
A rectangular swimming pool is 42 ft wide by 75 ft long. The table gives depths (d) from x = 0 at the shallow end to the diving end. Use the Trapezoidal Rule with
75
n = 15 to estimate the volume of the pool, V =
S
42.d(x) dx.
0
x 0
5 10 15 20 25 30
35 40 45
50 55 60 65 70 75
d 4.4 6.6 7.6 8.3 8.9 9.4 9.9 10.3 10.7 11.1 11.5 11.8 12.1 12.5 12.8 13.1
The volume of the pool is ft³.
(Round to the nearest integer as needed.)
Transcribed Image Text:A rectangular swimming pool is 42 ft wide by 75 ft long. The table gives depths (d) from x = 0 at the shallow end to the diving end. Use the Trapezoidal Rule with 75 n = 15 to estimate the volume of the pool, V = S 42.d(x) dx. 0 x 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 d 4.4 6.6 7.6 8.3 8.9 9.4 9.9 10.3 10.7 11.1 11.5 11.8 12.1 12.5 12.8 13.1 The volume of the pool is ft³. (Round to the nearest integer as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

You made a mistake in the calculation. The final answer is 31,972.5. But thanks for the process.

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning