Question: Among all the rectangular solids in 3 - space defined by the inequalities 0 x a , 0 y b , 0 z 1 ,

Among all the rectangular solids in 3-space defined by the inequalities 0 x a,0 y b,0 z 1, find the one for which the total flux of F(x, y, z)=x 24xy,6yz,12z outward through the six sides is greatest. What is the greatest flux?

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