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Mathematics Clinic => Calculus => Topic started by: go.lag on Dec 18, 2021

Title: A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, ...
Post by: go.lag on Dec 18, 2021
A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only one-third as much light per unit area as clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thickness of the frame.


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Title: A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, ...
Post by: flannelavenger on Dec 18, 2021
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