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A Rectangle Is Bounded by the X-Axis and the Semicircle y=49x2y = \sqrt { 49 - x ^ { 2 } }

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A rectangle is bounded by the x-axis and the semicircle y=49x2y = \sqrt { 49 - x ^ { 2 } } (see figure). Select the area A of the rectangle as a function of x, and determine the domain of the function.
 A rectangle is bounded by the x-axis and the semicircle  y = \sqrt { 49 - x ^ { 2 } }  (see figure). Select the area A of the rectangle as a function of x, and determine the domain of the function. ​   ​


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