Question

Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. (If a v...

Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. (If a value does not exist, enter NONE.)

f(x,y,z) = x2 + y2 + z2;   x4 + y4 + z4 = 1

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