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Consider the surfaces x^2 + y^2 + z^2 = 1 and (z +√2)^2 = x^2 +...

Consider the surfaces x^2 + y^2 + z^2 = 1 and (z +√2)^2 = x^2 + y^2, and let (x0, y0, z0) be a point
in their intersection. Show that the surfaces are tangent at this point, that is, show that they
have a common tangent plane at (x0, y0, z0).

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