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Describe in words the region of $ \mathbb{R}^3 $ represented by the equation(s) or inequality.

$ 1 \le x^2 + y^2 + z^2 \le 5 $

every point on or between the two spheres of radius 1 and radius $\sqrt{5},$ both

centered at the origin

Vectors

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Kyle P.

May 12, 2020

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Missouri State University

Oregon State University

Harvey Mudd College

Idaho State University

All right. So notice here, this X squared plus y squared plus z squared is a sphere. So we're bounding a sphere by two different rady I So this is a sphere with radius equaling square two five and radius equaling one. So it's going to be this sphere and a little bit of it. There's going to be cut it out.