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Find the extreme values of the function f(x,y,z) = Txy + 722 on the circle in which the plane y - x = 0 intersects

Find the extreme values of the function f(x,y,z) = Txy + 722 on the circle in which the plane y - x = 0 intersects the sphere x2 + y2 + 22 = 64. The maximum value of f(x,y,z) is D

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