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7. (11 points) A window has the shape of a half disk of radius r placed on a rectangle as shown on the right. The

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7. (11 points) A window has the shape of a half disk of radius r placed on a rectangle as shown on the right. The perimeter of the window is to be 5 meters. What are the dimensions of the window which will maximize its area? Make sure you verify that you have indeed a maximum area

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