Use the Given Transformation to Evaluate the Integral $$\begin{aligned}u = & - 2 x + y , v = 6 x + y \\& \iint _ { R } ( 6 x + y ) d x d y\end{aligned}$$

question 210

Multiple Choice

Use the given transformation to evaluate the integral.
- $$\begin{aligned}u = & - 2 x + y , v = 6 x + y \\& \iint _ { R } ( 6 x + y ) d x d y\end{aligned}$$
where $R$ is the parallelogram bounded by the lines $y = 2 x + 2 , y = 2 x + 10 , y = - 6 x + 2 , y = - 6 x + 9$

• A) 77
• B) 4928
• C) \(\frac { 77 } { 2 }\)
• D) 2464

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