Question: 5. (5 points) Let F : R? - R be Cl with F(0,0) = 0 and DF(0, 0) = [2 3]. Let G : R3

5. (5 points) Let F : R? - R be Cl

5. (5 points) Let F : R? - R be Cl with F(0,0) = 0 and DF(0, 0) = [2 3]. Let G : R3 - R' defined by: G(x, y,=) = F(x+2-1,x2 -y? ) (5a) Show that the equation G(x, y.=) = 0 locally defines z as a C' function g of x, y around (2,-2,-1)

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