Consider the nonlinear system: • Fcxx₂y³ = *4* xy + x² = y ²³²-1=0 g(x₂₁47= x+2y-x₁³²³² - 2 = 0 (9) For X₂=0 and 4₁ = 2 we have F₁₂(04₂₁, y₁) = Fy (x₁, 4₁) = 9x (04₁,4₁ ) = 94 (x₁, y₁) = b) The system of nonlinear equations above has a solution near the paint (O.₁, 4₁) = (0,2), Talking the initial approximations X₁₂ = 0 and 1₁=2, and applying one iteration of Newton's method, gives the improved appel approximation Here 4ə (9) (AT₁) + Ax₁ = 44₁= JG₂ = N₂ = Ya

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