Calculus III: Find an equation of the largest sphere with center (7, 6, 9) that is contained in the first octant. I assumed the radius would be 6 since it was the smallest of the three, and that the problem would be (x-7)^2 + (x-6)^2 + (x-9)^2 = 36, but that turned out to be wrong. Where is the "first octant"? Would that be the XY-plane?

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Calculus III: Find an equation of the largest sphere with center (7, 6, 9) that is contained in the first octant. I assumed the radius would be 6 since it was the smallest of the three, and that the problem would be (x-7)^2 + (x-6)^2 + (x-9)^2 = 36, but that turned out to be wrong. Where is the "first octant"? Would that be the XY-plane?

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the first octant is the positive xy region |dw:1442372494384:dw|
seems right to me, except you have way to many x's there
Oh, I put three x's instead of x, y, and z. Never mind! Sorry, guys!

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lol!!
youre right in saying that the 6 is the limiting factor here. I think you have the right idea, just try tweaking your equation slightly like this: \[\left( x-7 \right)^2+\left( y-6 \right)^2+\left( z-9 \right)^2-36=0\]
Thanks for your help. :)
sometimes it just takes another pair of eyes

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