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# Describe in words the region of $\mathbb{R}^3$ represented by the equation(s) or inequality.$x^2 + y^2 + z^2 = 4$

## a sphere centered at the origin with radius 2 center (0,0,0)

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describing worse The region of our three represented by the equation X square plus twice workers. This works for s So this is like us fair. You are three. And if we do the standard sparing question X minus, that's not square. Plus why went wine elsewhere? Knox plus Z once see, not square equals R Square and compare it to over equation we'LL find here Center That's not why not. And Xena is just zero zero zero. So that means I was fair centered at the our region. And what's the square? So arse works for? And our course is a positive number. So we have or equals two. It means the readers of despair is too. So that is thie the wrath of our inclusion.

University of Illinois at Urbana-Champaign

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