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Use a Change of Variables to Find the Volume of the Solid

question 76

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Use a change of variables to find the volume of the solid region lying below the surface z=xy7+x2y2z = \frac { x y } { 7 + x ^ { 2 } y ^ { 2 } } and above the plane region RR : region bounded by the graphs of xy=1,xy=4,x=1,x=2x y = 1 , x y = 4 , x = 1 , x = 2 (Hint: Let x=u,y=v/ux = u , y = v / u .) Round your answer to two decimal places.

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