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Let a = 1 A swimming pool is a² units long, a unit wide, 1 units deep at the shallow end, and 1 + a units deep at the deep end. Water is being pumped into the pool at 1/3 cubic units per minute, and the height of the body of water is 1 unit at the deep end a) Draw a diagram depicting a cross-section of the swimming pool (include dimension labels). Recall that a cross-section is the surface or shape exposed by making a straight cut through something at a right angle. b) What percentage of the pool is filled when there is 1 unit of water at the deep end? c) At what rate is the water level raising if the height is less or equal to a?

Let a = 1 A swimming pool is a² units long, a unit wide, 1 units deep at the shallow end, and 1 + a units deep at the deep end. Water is being pumped into the pool at 1/3 cubic units per minute, and the height of the body of water is 1 unit at the deep end a) Draw a diagram depicting a cross-section of the swimming pool (include dimension labels). Recall that a cross-section is the surface or shape exposed by making a straight cut through something at a right angle. b) What percentage of the pool is filled when there is 1 unit of water at the deep end? c) At what rate is the water level raising if the height is less or equal to a?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let a = 1 A swimming pool is a² units long, a unit wide, 1 units deep at the shallow end, and 1 + a units deep at the deep end. Water is being pumped into the pool at 1/3 cubic units per minute, and the height of the body of water is 1 unit at the deep end a) Draw a diagram depicting a cross-section of the swimming pool (include dimension labels). Recall that a cross-section is the surface or shape exposed by making a straight cut through something at a right angle. b) What percentage of the pool is filled when there is 1 unit of water at the deep end? c) At what rate is the water level raising if the height is less or equal to a? 2022
Transcribed Image Text:Let a = 1 A swimming pool is a² units long, a unit wide, 1 units deep at the shallow end, and 1 + a units deep at the deep end. Water is being pumped into the pool at 1/3 cubic units per minute, and the height of the body of water is 1 unit at the deep end a) Draw a diagram depicting a cross-section of the swimming pool (include dimension labels). Recall that a cross-section is the surface or shape exposed by making a straight cut through something at a right angle. b) What percentage of the pool is filled when there is 1 unit of water at the deep end? c) At what rate is the water level raising if the height is less or equal to a? 2022
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