cmikhail8075 cmikhail8075

09-02-2018
Mathematics

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Find the equation of the surface. the bottom hemisphere of a sphere centered at (8, -7, 0) with radius 10.

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sqdancefan sqdancefan

09-02-2018

The equation of the sphere is
.. (x -8)^2 +(y +7)^2 +z^2 = 10^2

Then the bottom hemisphere has the equation
.. z = -√(100 -(x -8)^2 -(y +7)^2)

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