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A Norman window has the shape of a rectangle surmounted by a semicircle of diameter equal to

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A Norman window has the shape of a rectangle surmounted by a semicircle of diameter equal to the width of the rectangle. See the figure. If the perimeter of the window is 20 feet, what dimensions will admit the most light (maximize the area)?

Circumference of a circle = 2πr; area of a circle = πr2, where r is the radius of the circle.

A Norman window has the shape of a rectangle surmounted

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Let x width of the window and y height of the rectangular part of the window The perimeter of the ...View the full answer


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Precalculus

Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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