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Find the maximum and minimum values of the function f(x,y,z)=x2y2z2 subject to the constraint x2+y2+z2=361. Maximum...

Find the maximum and minimum values of the function f(x,y,z)=x2y2z2 subject to the constraint x2+y2+z2=361.

Maximum value is:........... , occuring at ............... points (positive integer or "infinitely many"). Minimum value is ........................ , occuring at ..................... points (positive integer or "infinitely many").

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