A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y = 49 - x2. What are the dimensions of the rectangle with the maximum area? What is the area? The shorter dimension of the rectangle isO and the longer dimension is (Round to two decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 32E
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A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y = 49 - x2. What are the dimensions of the rectangle with the maximum area? What is the area?
The shorter dimension of the rectangle is and the longer dimension is
(Round to two decimal places as needed.)
Transcribed Image Text:A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y = 49 - x2. What are the dimensions of the rectangle with the maximum area? What is the area? The shorter dimension of the rectangle is and the longer dimension is (Round to two decimal places as needed.)
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