Rectangles beneath a curve A rectangle is constructed withone side on the positive x-axis, one side on the positive y-axis,and the vertex opposite the origin on the curve y = cos x, for0 < x < π/2. Approximate the dimensions of the rectangle thatmaximize the area of the rectangle. What is the area?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 60RE
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Rectangles beneath a curve A rectangle is constructed with
one side on the positive x-axis, one side on the positive y-axis,
and the vertex opposite the origin on the curve y = cos x, for
0 < x < π/2. Approximate the dimensions of the rectangle that
maximize the area of the rectangle. What is the area?

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