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 the
have a common tangent plane at (x0, y0, z0).

Expert Solution

here is the answer, the most important thing is to be able to write the equation of the tangent plane to the surface .

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Colby Messinger answered 1 year ago

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