Maximizing Area A rectangle has one vertex on the liney = 10 - x, x 7 0, another at the origin, one on the positivex-axis, and one on the positive y-axis. Express the area A of therectangle as a function of x. Find the largest area A that canbe enclosed by the rectangle.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 86RE
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Maximizing Area A rectangle has one vertex on the line
y = 10 - x, x 7 0, another at the origin, one on the positive
x-axis, and one on the positive y-axis. Express the area A of the
rectangle as a function of x. Find the largest area A that can
be enclosed by the rectangle.

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