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

question 76

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) \(10.43\).

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