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Differential Geometry: Let a be a positive constant, and define x(u,v) := (v cos u, v...

Differential Geometry:
Let a be a positive constant, and define x(u,v) := (v cos u, v sin u, a u), where 0 < u < 2π and v real. Compute the principal curvatures and the Gaussian curvature at each point of the surface defined by x.
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