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A rectangle is inscribed in the ellipse x²+4y²=4.

A rectangle is inscribed in the ellipse x²+4y²=4.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4.3/4.7: A rectangle is inscribed in the ellipse x²+4 y²=4. (a) Find the minimum possible area of the rectangle. (b) Find the maximum possible area of the rectangle. (c) Find the maximum possible perimeter of the rectangle.
Transcribed Image Text:4.3/4.7: A rectangle is inscribed in the ellipse x²+4 y²=4. (a) Find the minimum possible area of the rectangle. (b) Find the maximum possible area of the rectangle. (c) Find the maximum possible perimeter of the rectangle.
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