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Find a Parametric Representation for the Surface Consisting of That x2y2+z2=1- x ^ { 2 } - y ^ { 2 } + z ^ { 2 } = 1

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Essay

Find a parametric representation for the surface consisting of that part of the hyperboloid x2y2+z2=1- x ^ { 2 } - y ^ { 2 } + z ^ { 2 } = 1 that lies below the rectangle [1,1]×[3,3][ - 1,1 ] \times [ - 3,3 ] .

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