c9c0d20e-7f03-4d48-a038-01fa03ef039c 12 4 5 decimal

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AlgLib Solver for a system of nonlinear equations(Uni) result k 1 x f rows range u k el x k el : for x Jac u f u Jacobian : StepMax 0 : Eps 1014 -^: u X0 StepMax Eps x f x Jac al_nleqsolve : 51 line :

Approximation by random numbers X0 u 1 el 0.1 : i 2 x f rows range u i el u i 1 - el 51 Random * 1 - (1 el + : for u 31 line :

a 816 π * sqrt * : 351.67021

x f 1 - 3 / x 1 el (2^x 2 el (2^+ sqrt * exp 2 x 2 el (2^* - x 1 el (2^+ a / * - 0.005 + 021 mat :

x y XY x y / - :

X0 92 - 21 mat :

result 9.48742992775749 4.15325605399999 - 21 mat

result f 71017 -^* - 021 mat

x y f 1 - 3 / x 2^y 2^+ sqrt * exp 2 y 2^* - x 2^+ a / * - 0.005 + :

f result 1 el result 2 el result 1 el 0 2 2 mat XY 3 1 sys

Limits:

LHS lim 10 - 021 mat

RHS lim 10021 mat

Cartesian quadrants:

# - # + 21 mat

# - # - 21 mat

# + # - 21 mat

# + # + 21 mat