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20 January, 10:07

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

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  1. 20 January, 13:13
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    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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