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 Din inchesDepth Hin inches1.001.854.4038.65414.60(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

Based on the depth and distance this problem was solved

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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

Problem 5E: Hydroplaning On wet roads, under certain conditions the front tires of a car will hydroplane, or run...

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For the experimental can described in Example 8, write the surfacearea as a function of (a) the radius r and (b) the height h.
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