【非選題】 4. (15 pts) A space probe in the shape of the ellipsoid 4x2 + y2 + 4z2 = 16 enters the earth's atmosphere and its surface begins to heat. After one hour, the temperature at the point (x,y,z) on the probe's surface is
T(x, y, z) = 8x2 + 4yz - 16z + 600. Find the hottest point on the probe's surface.
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