A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=5−x^2. What are

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A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=5−x^2. What are

[From: ] [author: ] [Date: 11-04-28] [Hit: ]

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

Width =
Height =

-

The vertex of this parabola (y - 5) = x^2 is (0,5)

Therefore the area is (2x) (one to the right of the origin and one to the left) times (5-x)^2 =

A = 2x^3 - 20x^2 + 50x

1

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