Question: The temperature at (x, y, z) of a solid sphere centered at the origin is T(x, y, z) = 100e-(x2+y2=z2). It is hottest at the

The temperature at (x, y, z) of a solid sphere centered at the origin is T(x, y, z) = 100e-(x2+y2=z2). It is hottest at the origin. Show that the direction of greatest decrease in temperature is always a vector pointing away from the origin.

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