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 inches01.0011.5523.2035.9549.80 (a) Use regression to find a formula for H as a quadratic function of D. (b) When the depth is 4 inches, how far from the base of 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?

Consider the quadratic function of D is defined as H=aD2+bD+c

Answered: The side of a cylindrical can full of…

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

Chapter2: Graphical And Tabular Analysis

Section2.4: Solving Nonlinear Equations

Problem 30E

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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.