The depth of a children's 4 ft by 4 ft swimming pool, measured at 1 ft intervals, is given in the following table. y 0 1 2 3 4 12 3 4 5 1 12 3 4 5 2 2 2 1 4 5 3 1 12 3 4 4 1 1 1 2 (a) Estimate the volume (in ft) of water in the swimming pool by using a Riemann sum with m =n = 2. Select the sample points using the midpoint rule on R = [0, 4] x [0, 4]. ft3 (b) Find the average depth (in ft) of the swimming pool. ft

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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The depth of a children's 4 ft by 4 ft swimming pool, measured at 1 ft intervals, is given in the following table.
y
o 1 2 3
4
1
2
3 4
1
1 2 3 4 5
2 1
2 2 4
5
3
1
2
3
4
4
1
1
1
2
3
(a) Estimate the volume (in ft) of water in the swimming pool by using a Riemann sum with m = n = 2. Select the sample points using the midpoint rule on R = [0, 4] × [0, 4].
ft3
(b) Find the average depth (in ft) of the swimming pool.
ft
Transcribed Image Text:The depth of a children's 4 ft by 4 ft swimming pool, measured at 1 ft intervals, is given in the following table. y o 1 2 3 4 1 2 3 4 1 1 2 3 4 5 2 1 2 2 4 5 3 1 2 3 4 4 1 1 1 2 3 (a) Estimate the volume (in ft) of water in the swimming pool by using a Riemann sum with m = n = 2. Select the sample points using the midpoint rule on R = [0, 4] × [0, 4]. ft3 (b) Find the average depth (in ft) of the swimming pool. ft
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