ladyglitters8039 ladyglitters8039

14-01-2020
Mathematics

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Find an equation of largest sphere with center(5,4,9) that is contained in the first octant.

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LammettHash LammettHash

14-01-2020

Such a sphere can have a radius of up to 4, so that its equation would be

[tex](x-5)^2+(y-4)^2+(z-9)^2=16[/tex]

Any larger radius would make the sphere cross the plane [tex]y=0[/tex] and it would no longer be contained in the first octant.

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