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The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See the figure below.) The depth H, in inches, of water remaining in the can is a function of the distance D in inches (measured from the base of the can) at which the s water strikes the ground. Here is a table of values of D and H. Distance D in inches 0 1 2 3 Depth H in inches 1.00 1.85 4.40 8.65 14.60 D- (a) Use regression to find a formula for H as a quadratic function of D. Hi (b) When the depth is 2 inches, how far from the base inches the can will the water stream strike the ground? (c) When the water stream strikes the ground 5 inches from the base of the can, what is the depth of water in the can? inches

The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See the figure below.) The depth H, in inches, of water remaining in the can is a function of the distance D in inches (measured from the base of the can) at which the s water strikes the ground. Here is a table of values of D and H. Distance D in inches 0 1 2 3 Depth H in inches 1.00 1.85 4.40 8.65 14.60 D- (a) Use regression to find a formula for H as a quadratic function of D. Hi (b) When the depth is 2 inches, how far from the base inches the can will the water stream strike the ground? (c) When the water stream strikes the ground 5 inches from the base of the can, what is the depth of water in the can? inches

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 67E
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 The depth H, in inches, of water remaining in the can is a function of the distance D in inches (measured from the base of the can) at which the stream of water strikes the ground. Here is a table of values of D and H.

The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See the figure below.) The depth H, in inches, of water remaining in the can is a function of the distance D in inches (measured from the base of the can) at which the strea water strikes the ground. Here is a table of values of D and H. Distance D in inches 0 H = 1 2 3 4 Depth H in inches 1.00 1.85 4.40 8.65 14.60 D- (a) Use regression to find a formula for H as a quadratic function of D. (b) When the depth is 2 inches, how far from the base of the can will the water stream strike the ground? inches (c) When the water stream strikes the ground 5 inches from the base of the can, what is the depth of water in the can? inches
Transcribed Image Text:The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See the figure below.) The depth H, in inches, of water remaining in the can is a function of the distance D in inches (measured from the base of the can) at which the strea water strikes the ground. Here is a table of values of D and H. Distance D in inches 0 H = 1 2 3 4 Depth H in inches 1.00 1.85 4.40 8.65 14.60 D- (a) Use regression to find a formula for H as a quadratic function of D. (b) When the depth is 2 inches, how far from the base of the can will the water stream strike the ground? inches (c) When the water stream strikes the ground 5 inches from the base of the can, what is the depth of water in the can? inches
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