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  3. consider the surfaces x^2 + y^2 + z^2 = 1 and (z +

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

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Advance Math

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 thispoint, that is, show that the
have a common tangent plane at (x0, y0, z0).

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