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mcckenziee
27.07.2019 •
Mathematics
Find an equation of the largest sphere with center (3,8,1)(3,8,1) that is contained completely in the first octant.
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Ответ:
The largest sphere contained in the first octant has a radius equal to the smallest distance from the center to the coordinates planes
so
Since the center is (3, 8, 1), the plane is 3 units to the right of the yz-plane, 8 units from the xz plane, and 1 units over the xy-plane.
The radius must be up to 1 units, because if it was greater than 1 units, it would go beyond the first octant.
therefore
the answer is
the equation of a sphere is
(x-3)²+(y-8)²+(z-1)²=1
Ответ: