Find the minimum and maximum distances between the sphere $x^2 + y^2 + z^2 = 4$ and the point $(2, 6, 7)$.\The minimum distance is \(Type an exact answer, using radicals as needed.)
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To find the maximum and minimum distances between the sphere and the point (2,6,7), we first need to find the equation of the sphere. The equation of a sphere with center (a,b,c) and radius r is given by: (x - a)^2 + (y - b)^2 + (z - c)^2 = r^2 Show more…
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