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 stream of water strikes the ground. Here is a table of values of D and H. Distance D Depth H in inches in inches 1.00 1.85 4.40 8.65 4. 14.60 D (a) Use regression to find a formula for H as a quadratic function of D. H. (b) When the depth is 3 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?
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 stream of water strikes the ground. Here is a table of values of D and H. Distance D Depth H in inches in inches 1.00 1.85 4.40 8.65 4. 14.60 D (a) Use regression to find a formula for H as a quadratic function of D. H. (b) When the depth is 3 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?
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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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 stream of water strikes the ground. Here is a table of values of D and H.
Distance D
in inches
Depth H
in inches
1.00
1.85
4.40
3
8.65
4
14.60
(a) Use regression to find a formula for H as a quadratic function of D.
(b) When the depth is 3 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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