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1. Show that the surface xyz = 1 is not connected, but that it is the disjoint union of four connected surfaces. Find a parametrization

1. Show that the surface xyz = 1 is not connected, but that it is the disjoint union of four connected surfaces. Find a parametrization of each connected piece. 2. Find the equation of the tangent plane of the torus in Exercise 4.2.5 at the point corresponding to = = /4. 2

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