1. The problem statement, all variables and given/known data Use Lagrange multipliers to find the max and min values of the function subject to the given constraints: f(x,y,z)= x2y2z2 constraint: x2 + y2 + z2 = 1 2. Relevant equations ∇f = ∇g * λ fx = gx * λ fy = gy * λ fz = gz * λ 3. The attempt at a solution i cant solve for x, y, and lambda i got: for this one, fx = gx * λ ---> 2x*y2*z2=(2x)λ for, fy = gy * λ ---> 2y*x2*z2=(2y)λ fz = gz * λ ----> 2z*x2*y2=(2z)λ i tried setting them all equal to lambda, and ended up getting that x=y=z=1 but when you add that into g(x,y,z).... that equals >1 ? im confused with getting the x,y,z, and lambda values. help?