A space probe in the shape of the ellipsoid 62² + y² +62² = 14 enters Jupiter's atmosphere and its surface begins to heat After 1 hour, the temperature at the point (x, y, z) on the probe's surface is T(x, y, z) = 9x ^ 2 + 3yz - 18z + 600 . Find the hottest point on the probe's surface?
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