Consider the curve C defined by (x; y) = r(t), where r(t) = (t; (1+t)/t; (1-t^2)/t) ; t > 0: (a) Show that C lies on the plane x - y + z + 1 = 0.  (b) Find a vector tangent to C at the point r(1).  (c) Find a Cartesian equation for the line l tangent to the curve r at the point (1; 2; 0)

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