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Show that the cylinder x 2 + y 2 = 4 and the sphere x...

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Basic Math

Show that the cylinder x 2 + y 2 = 4 and the sphere x 2 + y 2 +z 2 − 8y − 6z + 21 = 0 are tangent at the point (0, 2, 3). That is,show that the cylinder and sphere intersect at that point, and thatthey share the same tangent plane at that point.

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