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.)

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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.)
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