Let (u, v) = (u, v, v u) parametrise the saddle surface, S = ((u, v,...

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Let (u, v) = (u, v, v² u²) parametrise the saddle surface, S = ((u, v, v²-u²): u²+ v² <1} over the disc D = {(u, v): u²+ v² < 1}. 1) Calculate the coordinate vector fields, 0,,0, 2) Show that area element, dA = square root (1 +4u²+ 4v²) dudv 3) Calculate the area A Let (u, v) = (u, v, v² u²) parametrise the saddle surface, S = ((u, v, v²-u²): u²+ v² <1} over the disc D = {(u, v): u²+ v² < 1}. 1) Calculate the coordinate vector fields, 0,,0, 2) Show that area element, dA = square root (1 +4u²+ 4v²) dudv 3) Calculate the area A