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Write inequalities to describe the region. The solid upper hemisphere of the sphere of radius 2 centered at the origin

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x2+y2+z24x^2 + y^2 + z^2 \leq 4 is the solid sphere with radius 2 centered at the origin. However, since the problem says it's only the upper hemisphere, therefore, z0z \geq 0. Therefore, the answer is:

x2+y2+z24 where z0x^2 + y^2 + z^2 \leq 4 \text{ where } z \geq 0

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