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A car dealership has 30 ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.
(a) Express the area of the play space as a function of x.
(b) Find the domain of the function.
(c) Using the graph shown below, determine the dimensions that yield the maximum area. |
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