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A rectangle is inscribed in the parabola y=8– x - such that one side lies on the x-axis and two vertices lie on the parabola (as shown). Of all such rectangles, determine the dimensions of the one with the largest perimeter.

A rectangle is inscribed in the parabola y=8– x - such that one side lies on the x-axis and two vertices lie on the parabola (as shown). Of all such rectangles, determine the dimensions of the one with the largest perimeter.

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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A rectangle is inscribed in the parabola y=8-x² such that one side lies on the x-axis and two vertices lie on the parabola (as shown). Of all such rectangles, determine the dimensions of the one with the largest perimeter.
Transcribed Image Text:A rectangle is inscribed in the parabola y=8-x² such that one side lies on the x-axis and two vertices lie on the parabola (as shown). Of all such rectangles, determine the dimensions of the one with the largest perimeter.
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