et T(x, y, z)= 100+ x² + y² represent the temperature at each point on the sphere x² + y² + z² = 80. Use Lagrange multipliers to find the maximum temperature on the curve formed by the intersection of the sphere and the plane x - z = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Let T(x, y, z) = 100 + x² + y² represent the temperature at each point on the sphere x² + y² + z² = 80. Use Lagrange multipliers to find the maximum temperature on the curve formed by the intersection of the sphere and the plane x -z = 0.
Transcribed Image Text:Let T(x, y, z) = 100 + x² + y² represent the temperature at each point on the sphere x² + y² + z² = 80. Use Lagrange multipliers to find the maximum temperature on the curve formed by the intersection of the sphere and the plane x -z = 0.
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