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Unformatted text preview: If f is continuous on R, g and h have continuous partial derivatives on S, and ) , ( ) , ( v u y x is nonzero on S, then ( 29 = S R dudv v u y x v u h v u g f dxdy y x f ) , ( ) , ( ) , ( ), , ( ) , ( . Example: (#20) Use a change of variables to find the volume of the solid region lying below the surface 2 / 3 ) 2 )( 2 3 ( ) , ( x y y x y x f-+ = and above the plane region R that is bounded by the parallelogram with vertices (0,0), (-2,3), (2,5), (4,2)....
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This note was uploaded on 01/13/2012 for the course MATH 2574 taught by Professor Pamelasatterfield during the Spring '12 term at NorthWest Arkansas Community College.
- Spring '12