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The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1.

The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1. A bee is constrained to live on a sphere of radius 3 centered at the origin. In other words, the bee cannot fly off of this sphere. What is the coldest temperature that the bee can experience on this sphere? Where does this occur? What is the hottest temperature that the bee can experience on this sphere? Where does this occur?

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