Suppose that the Celsius temperature at the point (x, y, z) on the sphere x 2 y 2 z 2 1 is T 400xyz 2 Locate the highest and lowest temperatures on the sphere

Question: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x 2 + y 2 + z 2 = 1 is

Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is T = 400xyz². Locate the highest and lowest temperatures on the sphere.

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