Identify the surface whose equation is given r^2 + z^2 = 4

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03-08-2018
Mathematics

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Identify the surface whose equation is given r^2 + z^2 = 4

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sqdancefan sqdancefan · Answer 1 · 2018-08-16T04:03:41+02:00

sqdancefan sqdancefan

16-08-2018

The equation describes a circle that gets smaller as z increases, and is maximum size at z=0. The radius of the circle is a maximum of 2, and goes to zero as |z| becomes 2.

The surface is a sphere of radius 2 centered at the origin.

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