Answered: A rectangle is inscribed in the region…

A rectangle is inscribed in the region bounded by the graph of y= e1-2x^2 and have one of its side lie on the x-axis. What are the dimensions of such a rectangle with the largest possible area?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 52E

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Question

A rectangle is inscribed in the region bounded by the graph of y= e^{1-2x^2}and have one of its side lie on the x-axis. What are the dimensions of such a rectangle with the largest possible area?