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find maximum value of F

F = (4x+4y+9z-2w), G = (2x+2y +z+ w)==0, H = (x^2+y^2+z-4)==0,

  • x ,y, z, w is symbolic expressions in 4 variables.
  • The symbolic expressions G and H represent constraints.
  • find the maximum value of F , subject to the constraints G=0 and H=0 ?????????

  • please help me