A space probe in the shape of the ellipsoid 4x2 + y? + 4z² = 20 enters a planet'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. The hottest point is (+| (Simplify your answer. Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expression.) ±1.)

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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.