9. Suppose that 8 is a C1 surface with parametrization (, E) that is smooth at (xo,

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9. Suppose that 8 is a C1 surface with parametrization (¢, E) that is smooth at (xo, Yo, zo) = ¢(uo, vo). Let ('ljJ,1) be a parametrization of a C1 curve in E that passes through the point (uo,vo) (Le., there is a to E I such that

'ljJ(to) = (uo, vo)). Prove that (¢ 0 'ljJ)'(to) . (¢u x ¢v)(uo, vo) = O.

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