A rectangle has one vertex in quadrant I on the graph of y = 10 - x2 , another at the origin, one on the positive x-axis, and one on the positive y-axis.(a) Express the area A of the rectangle as a function of x.(b) Find the largest area A that can be enclosed by the rectangle.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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A rectangle has one vertex in quadrant I on the graph of y = 10 - x2 , another at the origin, one on the positive x-axis, and one on the positive y-axis.
(a) Express the area A of the rectangle as a function of x.
(b) Find the largest area A that can be enclosed by the rectangle.

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