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3. Let S be the self-intersecting rectangle in R^3 given by the implicit equation x^2y^2z = 0. (a) Give a parametrization of S (b) Is
3. Let S be the self-intersecting rectangle in R^3 given by the implicit equation x^2y^2z = 0.
(a) Give a parametrization of S
(b) Is your parametrization one-to-one? Explain.
(c) Find the equation of the tangent plane to S at(1/4 , 1/2 , 1/4)
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