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Question: How can the center of this sphere be determined?

Question:How can the center of this sphere be determined?

Earl 985 Maple 2016
geometry center sphere
February 09 2020
1

The sphere with radius 0.5 whose center has y coordinate = 0.5 and z coordinate = 0.5 is tangent internally to the ellipsoid centered on the origin with principal semi axes of 5, 3 and 2.

How can the x coordinate of the sphere's center be determined?
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