Question: 2) Solve the system of nonlinear equations using the multivariate Newton's method. Use the given values as an initial guess (x_{1}, x_{2}, x_{3}) = (5,

2) Solve the system of nonlinear equations using the multivariate Newton's method. Use the given values as an initial guess (x_{1}, x_{2}, x_{3}) = (5, 5, 0)

x_{1} ^ 2 + x_{2} = 37

x_{1} - x_{2} ^ 2 = 5

x_{1} + x_{2} + x_{3} = 3

2) Solve the system of nonlinear equations using the multivariate Newton's method.

2) Solve the system of nonlinear equations using the multivariate Newton's method. Use the given values as an initial guess (x1,x2,x3)=(5,5,0). x12+x2=37x1x22=5x1+x2+x3=3

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