A rectangle is bounded by the x-axis and the semicircle y = 36 x2, as shown in the

Chapter 1, Problem 75

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Geometry A rectangle is bounded by the x-axis and the semicircle \(y=\sqrt{36-x^{2}}\), as shown in the figure. Write the area A of the rectangle as a function of x and determine the domain of the function.

                               

Text Transcription:

y = sqrt 36-x^2

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