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Describe the graph of the set of poi...

Describe the graph of the set of points `(x,y,z)` where `(x-6)^(2) +(y+3)^(2) +(z-2)^(2)=36`

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This equation describes the set of points whose distance from `(6,-3,2)` is 6. This is a sphere of radius 6 with the center at `(6,-3,2)` .
If only two of the variables appear in an equation the desribes a planar figure .The third variable spans the entire number line .The resulting three - dimensional figure is a solid is a solid that extends indefinitely in both directions parallel to the axis of the variable that is not in the equation , with cross sections congruent to the planar figure .
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