Question: The temperature at (x, y, z) of a solid sphere centered at the origin is given by (a) By inspection, decide where the solid sphere

The temperature at (x, y, z) of a solid sphere centered at the origin is given by

(a) By inspection, decide where the solid sphere is hottest.
(b) Find a vector pointing in the direction of greatest increase of temperature at (1, -1, 1).
(c) Does the vector of part (b) point toward the origin?

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