Question: 3. Consider the regular surface parametriza o (u, v) = (utv,u - v, uv), (u, v) ER2. (i) Compute the first and second fundamental forms

3. Consider the regular surface parametriza o (u, v) = (utv,u - v, uv), (u, v) ER2. (i) Compute the first and second fundamental forms of S. (ii) At the point (2, 0, 1) on the surface S, evaluate the principal curvatures and principal directions. Hence compute the values of the Gauss and mean curvatures

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