A space probe in the shape of the ellipsoid 4x2 + y2 + 4z2 = 16 enters Earth’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) = 8x2 + 4yz - 16z + 600. Find the hottest point on the probe’s surface.

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.