9) **Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is determined by the equation T=400xyz². Use the method of Lagrange Multipliers to locate the highest and lowest temperatures on the sphere.
9) **Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is determined by the equation T=400xyz². Use the method of Lagrange Multipliers to locate the highest and lowest temperatures on the sphere.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
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