The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y,...

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

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