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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 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

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
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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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 | y=1 | y=2 | y=3 | y=4 | |---|-----|-----|-----|-----|-----| | x=0 | 1 | 2 | 3 | 4 | 5 | | x=1 | 1 | 2 | 3 | 4 | 5 | | x=2 | 1 | 2 | 2 | 4 | 5 | | x=3 | 1 | 1 | 2 | 3 | 4 | | x=4 | 1 | 1 | 1 | 1 | 3 | (a) Estimate the volume (in ft³) of water in the swimming pool by using a Riemann sum with \( m = n = 2 \). Select the sample points using the midpoint rule on \( R = [0, 4] \times [0, 4] \). \[ \text{ft}^3 \] (b) Find the average depth (in ft) of the swimming pool. \[ \text{ft} \]
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=0 | y=1 | y=2 | y=3 | y=4 | |---|-----|-----|-----|-----|-----| | x=0 | 1 | 2 | 3 | 4 | 5 | | x=1 | 1 | 2 | 3 | 4 | 5 | | x=2 | 1 | 2 | 2 | 4 | 5 | | x=3 | 1 | 1 | 2 | 3 | 4 | | x=4 | 1 | 1 | 1 | 1 | 3 | (a) Estimate the volume (in ft³) of water in the swimming pool by using a Riemann sum with \( m = n = 2 \). Select the sample points using the midpoint rule on \( R = [0, 4] \times [0, 4] \). \[ \text{ft}^3 \] (b) Find the average depth (in ft) of the swimming pool. \[ \text{ft} \]
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