Question: This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint.

f(x,y,z) =x2+y2+z2;x4+y4+z4=13

maximum value

minimum value

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