A string is in the shape of an ellipse described by 4x2+y2=8. The temperature at every point (x, y) of the string is described by T(x,y)=e2xy . How would I use the method of Lagrange multipliers to find the point(s) on the wire where has the highest and the lowest temperature? Any help would be appreciated :)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.5: Systems Involving Nonlinear Equations
Problem 38PS
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A string is in the shape of an ellipse described by 4x2+y2=8. The temperature at every point (x, y) of the string is described by T(x,y)=e2xy . How would I use the method of Lagrange multipliers to find the point(s) on the wire where has the highest and the lowest temperature?

Any help would be appreciated :)

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