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?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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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