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k8lyn911

  • 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 (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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  1. anonymous
    • one year ago
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    the first octant is the positive xy region |dw:1442372494384:dw|

  2. misty1212
    • one year ago
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    seems right to me, except you have way to many x's there

  3. k8lyn911
    • one year ago
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    Oh, I put three x's instead of x, y, and z. Never mind! Sorry, guys!

  4. misty1212
    • one year ago
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    lol!!

  5. anonymous
    • one year ago
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    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: \[\left( x-7 \right)^2+\left( y-6 \right)^2+\left( z-9 \right)^2-36=0\]

  6. k8lyn911
    • one year ago
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    Thanks for your help. :)

  7. misty1212
    • one year ago
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    sometimes it just takes another pair of eyes

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