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). 1 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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 i asked this questions 2 times earlier, and have got 2 different answers, one time the expert gave me d is (0,1/root2) and the other expert gave me (0,1/2). Please give the right answer. Thank you.

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).
1
• 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). 1 • 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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