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Find the extreme values of f(x,y,z)=x2yz+1 on the intersection of the plane z=6 with the sphere...

Find the extreme values of f(x,y,z)=x2yz+1 on the intersection of the plane z=6 with the sphere x2+y2+z2=57.

The minimum of f(x,y,z) on the domain is (?)

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