If a rectangle has its base on the r-axis and two vertices on the curve y = e-", show that the rectangle has the largest possible area when the two vertices are at the points of inflection of the curve.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 14E: A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral...
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If a rectangle has its base on the x-axis and two vertices on the curve y=e^-x^2, show that the rectangle has the largest possible area when the two vertices are at the points of inflection of the curve.

If a rectangle has its base on the r-axis and two vertices on the curve y = e-", show that the rectangle has
the largest possible area when the two vertices are at the points of inflection of the curve.
Transcribed Image Text:If a rectangle has its base on the r-axis and two vertices on the curve y = e-", show that the rectangle has the largest possible area when the two vertices are at the points of inflection of the curve.
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