I need solution within minute i will prove Helpful

A function is given in the appendix f : R3 + R2 f(x, y, =) = (x4 +2) *) - (10) and It is asked whether the equation f(x, y, 2) = (0, 0)' in the Point (TO, yo, 20) = (2, 4, 2) ' noted in the appendix can be solved locally unambiguously according to a) p(x) = (y(x), z(2) ), b) 1/ (y) = (x(y), =(3)), c) 0 ( 2) = (x(2), U(2) ) Specify the derivations p'(ro), '(yo) and e' (zo) if the prerequisites for the record are fulfilled in each case using implicit functions