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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

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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. Distance D in inches 0 H = 1 2 3 4 Depth H in inches 1.00 1.55 3.20 5.95 9.80 D (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 ream 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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