Volume of water in a swimming pool A rectangular swimming pool is 30 ft wide and 50 ft long. The accompanying table shows the depth h(x) of the water at 5-ft intervals from one end of the pool to the other. Estimate the volume of water in the pool using the Trapezoidal Rule with n = 10 applied to the integral 50 V = 30 · h(x) dx. Position (ft) Depth (ft) h(x) Depth (ft) h(x) Position (ft) 6.0 30 11.5 8.2 35 11.9 10 9.1 40 12.3 15 9.9 45 12.7 20 10.5 50 13.0 25 11.0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Volume of water in a swimming pool A rectangular swimming
pool is 30 ft wide and 50 ft long. The accompanying table shows
the depth h(x) of the water at 5-ft intervals from one end of the
pool to the other. Estimate the volume of water in the pool using
the Trapezoidal Rule with n = 10 applied to the integral
50
V =
30 · h(x) dx.
Position (ft)
Depth (ft)
h(x)
Depth (ft)
h(x)
Position (ft)
6.0
30
11.5
8.2
35
11.9
10
9.1
40
12.3
15
9.9
45
12.7
20
10.5
50
13.0
25
11.0
Transcribed Image Text:Volume of water in a swimming pool A rectangular swimming pool is 30 ft wide and 50 ft long. The accompanying table shows the depth h(x) of the water at 5-ft intervals from one end of the pool to the other. Estimate the volume of water in the pool using the Trapezoidal Rule with n = 10 applied to the integral 50 V = 30 · h(x) dx. Position (ft) Depth (ft) h(x) Depth (ft) h(x) Position (ft) 6.0 30 11.5 8.2 35 11.9 10 9.1 40 12.3 15 9.9 45 12.7 20 10.5 50 13.0 25 11.0
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