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 0 1 2 4 Depth H in inches 1.00 1.15 1.60 2.35 3.40 KD- (a) Use regression to find a formula for H as a quadratic function of D. H = (b) When the depth is 5 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
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 0 1 2 4 Depth H in inches 1.00 1.15 1.60 2.35 3.40 KD- (a) Use regression to find a formula for H as a quadratic function of D. H = (b) When the depth is 5 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
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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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.
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
0
H =
1
2
3
4
H
Depth H
in inches
1.00
1.15
1.60
2.35
3.40
D
(a) Use regression to find a formula for H as a quadratic function of D.
(b) When the depth is 5 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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