The curves F(x,y) = x² + y - 9 and g(x,y) = y²³-x+1 intersect near the point (04, 4₁). Using the point (06, 4₂) Using the point CX1, 41) as an initial approximation For the point of intersection of the curves, apply 4 iteration of Newton's Method to find an equation Cin terms of X1, N₁, Ax and A4₁) From which the coordinates X₂ anel ya For the improved approximation for the point of intersection of the curves can be obtained.

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A: Solution given by you has many ambiguity in the definitions. So I rewrote the whole thing. Thanks