A rectangle is constructed with its base on the x-axis and its upper two vertices on the parabola y = 144 - x2. What are the dimensions of the rectangle with the maximum area? What is the area? 2. The shorter dimension of the rectangle is and the longer dimension is (Type an exact answer, using radicals as needed.) The area of the rectangle is (Type an exact answer, using radicals as needed.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 75E: Precalculus A rectangle is inscribed in the parabola y=16x2, as shown in the illustration. Find the...
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A rectangle is constructed with its base on the x-axis and its upper two vertices on the parabola y = 144 - x2. What are the dimensions of the rectangle with the maximum area? What is the area?
2.
The shorter dimension of the rectangle is
and the longer dimension is
(Type an exact answer, using radicals as needed.)
The area of the rectangle is
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:A rectangle is constructed with its base on the x-axis and its upper two vertices on the parabola y = 144 - x2. What are the dimensions of the rectangle with the maximum area? What is the area? 2. The shorter dimension of the rectangle is and the longer dimension is (Type an exact answer, using radicals as needed.) The area of the rectangle is (Type an exact answer, using radicals as needed.)
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