please solve this question, handwriting should be clear Applications of Lagrange multipliers Use Lagrange multipli-ers in the following problems. When the constraint curve is unbounded,explain why you have found an absolute maximum or minimum value.30. Maximum area rectangle in an ellipse Find the dimensions ofthe rectangle of maximum area with sides parallel to the coordi-nate axes that can be inscribed in the ellipse 4x? + 16y = 16.

According to question,Given equation of ellipse,4x2 + 16 y2= 16

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Maximum area rectangle in an ellipse Find the dimensions of the rectangle of maximum area with sides parallel to the coordi- nate axes that can be inscribed in the ellipse 4x + 16y = 16.

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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please solve this question, handwriting should be clear

Applications of Lagrange multipliers Use Lagrange multipli-
ers in the following problems. When the constraint curve is unbounded,
explain why you have found an absolute maximum or minimum value.
30. Maximum area rectangle in an ellipse Find the dimensions of
the rectangle of maximum area with sides parallel to the coordi-
nate axes that can be inscribed in the ellipse 4x? + 16y = 16.

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