2) These two problems are both about finding maximum values associatedwith the curve y=e^−x. Make sure to draw pictures for both problems. a) Find the area of the largest possible rectangle that can be drawn in the first quadrant so that two of its sides are on the axes (so that one vertex is the origin) and one vertex is on the curve y=e^−x. b) Find the area of the largest triangle that can be drawn in the first quadrant so that two sides are on the axes (like in part a) and the third side is tangent to the curve y=e^−x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 16T
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2) These two problems are both about finding maximum values associatedwith the curve y=e^−x. Make sure to draw pictures for both problems. a) Find the area of the largest possible rectangle that can be drawn in the first quadrant so that two of its sides are on the axes (so that one vertex is the origin) and one vertex is on the curve y=e^−x. b) Find the area of the largest triangle that can be drawn in the first quadrant so that two sides are on the axes (like in part a) and the third side is tangent to the curve y=e^−x

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