2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1). Suppose that we know the following: the point A is the origin, (0,0). the point B lies on the x-axis with a positive x-coordinate. the point C lies on the unit circle with a postive y-coordinate. Find the point D that maximizes the area of the rectangle.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius
1). Suppose that we know the following:
the point A is the origin, (0, 0).
the point B lies on the x-axis with a positive x-coordinate.
• the point C lies on the unit circle with a postive y-coordinate.
Find the point D that maximizes the area of the rectangle.
Transcribed Image Text:2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1). Suppose that we know the following: the point A is the origin, (0, 0). the point B lies on the x-axis with a positive x-coordinate. • the point C lies on the unit circle with a postive y-coordinate. Find the point D that maximizes the area of the rectangle.
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