(47) A rectangle is inscribed in the area under the graph of f(x) = e-ª² so that one of its sides is on the positive y-axis, one side is on the positive x-axis and its upper right-hand corner is on the curve f(x) = e-² (see the figure below). Find the exact value of the area of the largest rectangle. Show your work. y = exp(-x^2)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(47) A rectangle is inscribed in the area under the graph of f(x) = e-ª² so that one of
its sides is on the positive y-axis, one side is on the positive x-axis and its upper
right-hand corner is on the curve f(x) = e-² (see the figure below).
Find the exact value of the area of the largest rectangle. Show your work.
y = exp(-x^2)
Transcribed Image Text:(47) A rectangle is inscribed in the area under the graph of f(x) = e-ª² so that one of its sides is on the positive y-axis, one side is on the positive x-axis and its upper right-hand corner is on the curve f(x) = e-² (see the figure below). Find the exact value of the area of the largest rectangle. Show your work. y = exp(-x^2)
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