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For the first fundamental form. I got that ##f_u = \langle 1, 0, f_u \rangle## and ##f_v \langle 0,1,f_v \rangle##. Then ##f_u \dot\ d_u = 1^2 + f_u^2##, ##f_u \dot\ f_v = f_uf_v## and ##f_v \dot\ f_v = 1^2 + f_v^2##.

How can I complete this?