A rectangle has its two lower corners on the xx-axis and its two upper corners on the parabola y=7−x2y=7−x2. What are the dimensions of such a rectangle with the greatest possible area?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
Problem 6SC
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A rectangle has its two lower corners on the xx-axis and its two upper corners on the parabola y=7−x2y=7−x2.

What are the dimensions of such a rectangle with the greatest possible area?

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