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?

Question

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?

anonymous · Answer

the first octant is the positive xy region |dw:1442372494384:dw|