Find the point on the sphere $x^2 + y^2 + z^2 = 576$ that is farthest from the point $(-23, 16, -27)$.
Added by Timothy T.
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The equation of the sphere is x^2 + y^2 + z^2 = 576. This is in the form (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2, where (h, k, l) is the center of the sphere and r is the radius. Comparing the two equations, we can see that the center of the sphere is (0, 0, 0). Show more…
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