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Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area x? y? that can be inscribed in the ellipse - = 1 with sides parallel to the coordinate axes. 4 16 Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the y-axis. Length = Width = (Type exact answers, using radicals as needed.)

Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area x? y? that can be inscribed in the ellipse - = 1 with sides parallel to the coordinate axes. 4 16 Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the y-axis. Length = Width = (Type exact answers, using radicals as needed.)

Calculus: Early Transcendentals
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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Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area y? = 1 with sides parallel to the coordinate axes. that can be inscribed in the ellipse 4 16 Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the у-аxis. Length = Width = (Type exact answers, using radicals as needed.)
Transcribed Image Text:Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area y? = 1 with sides parallel to the coordinate axes. that can be inscribed in the ellipse 4 16 Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the у-аxis. Length = Width = (Type exact answers, using radicals as needed.)
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