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

question 22

Multiple Choice

Use a change of variables to find the volume of the solid region lying below the surface $z = \sqrt { ( x - y ) ( x + 3 y ) }$ and above the plane region $R$ : region bounded by the parallelogram with vertice $( 0,0 ) , ( 5,5 ) , ( 20,0 ) , ( 15 , - 5 )$ . Round your answer to two decimal places.

• A) \(206.56\)
• B) \(3,555.56\)
• C) \(5,333.33\)
• D) \(1,333.33\)
• E) \(888.89\)

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