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Use the Given Transformation to Evaluate the Integral u=x+y,v=−2x+y;∬R4ydxdy,\begin{array} { c } u = x + y , v = - 2 x + y ; \\\iint _ { R } 4 y d x d y ,\end{array}

Question 310

Multiple Choice

Use the given transformation to evaluate the integral.
- u=x+y,v=−2x+y;∬R4ydxdy,\begin{array} { c } u = x + y , v = - 2 x + y ; \\\iint _ { R } 4 y d x d y ,\end{array}
where RR is the parallelogram bounded by the lines y=−x+1,y=−x+4,y=2x+2,y=2x+5y = - x + 1 , y = - x + 4 , y = 2 x + 2 , y = 2 x + 5


A) 17
B) 13
C) 26
D) 34

Correct Answer:

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