12) A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 3-x². What is the largest area the rectangle can have, and what are its dimensions? Justify your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 14T
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12) A rectangle has its base on the x-axis and its upper two vertices on the parabola
y = 3 - x². What is the largest area the rectangle can have, and what are its
dimensions? Justify your answer.
Transcribed Image Text:12) A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 3 - x². What is the largest area the rectangle can have, and what are its dimensions? Justify your answer.
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