2) These two problems are both about finding maximum values associated with the curve y=e. Make sure to draw pictures for both problems. a) Find the area of the largest passible 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" 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 cure y =e

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 43PS
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2) These two problems are both about finding maximum values associated
with the curve y =e. 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
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
Transcribed Image Text:2) These two problems are both about finding maximum values associated with the curve y =e. 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 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
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