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A Norman window has the shape of a rectangle surrounded by a semicircle of diameter equal...

A Norman window has the shape of a rectangle surrounded by a semicircle of diameter equal to the width of the rectangle. If the perimeter of the window is 10 m, what dimensions will admit the most light?

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Answer #1

In this case we don't need to check endpoints as f'' is always negative and constant. Therefore critical value is absolute maximum, but if function is of higher order than 2 then we have to check endpoints.

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