a window is in 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 are 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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 24A
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a window is in 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 are 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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