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anonymous
 one year ago
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
(x7)^2 + (x6)^2 + (x9)^2 = 36, but that turned out to be wrong.
Where is the "first octant"?
Would that be the XYplane?
anonymous
 one year ago
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 (x7)^2 + (x6)^2 + (x9)^2 = 36, but that turned out to be wrong. Where is the "first octant"? Would that be the XYplane?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the first octant is the positive xy region dw:1442372494384:dw

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0seems right to me, except you have way to many x's there

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, I put three x's instead of x, y, and z. Never mind! Sorry, guys!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0youre 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: \[\left( x7 \right)^2+\left( y6 \right)^2+\left( z9 \right)^236=0\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks for your help. :)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.0sometimes it just takes another pair of eyes
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