A rectangular window is surmounted by a semicircular window that is stained. The stained glass lets through as much of the light as the clear glass. The perimeter of the window is 24 feet. What dimensions of the window will maximize the amount of light that will come through the window?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A rectangular window is surmounted by a semicircular window that is stained. The
stained glass lets through as much of the light as the clear glass. The perimeter of the
window is 24 feet. What dimensions of the window will maximize the amount of light that
will come through the window?
Transcribed Image Text:A rectangular window is surmounted by a semicircular window that is stained. The stained glass lets through as much of the light as the clear glass. The perimeter of the window is 24 feet. What dimensions of the window will maximize the amount of light that will come through the window?
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