Question: 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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