For each of following maps f: R^2 → R^3, describe the surface S = f(R^2) and
find a description of S as the locus of an equation F(x,y,z) = 0. Find the
points where (p_u)f and (p_v)f are linearly dependent, and describe the
singularities of S(if any) at these points. f(u,v) = (aucosv,businv,u) (a,b>0)
(p 是偏微分符號)
謝謝
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