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

Multiple Choice

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

A) $0.53$
B) $5.21$
C) $0.37$
D) $0.53$ .
E) $10.43$ .