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

---

Definitions:

Tax Returns

Documents filed with the government detailing income earned, tax payable, and other financial information, used to assess tax liabilities.

OAS Benefits

Monthly payments provided by the government to eligible individuals who are 65 years of age or older, as part of the Old Age Security program in Canada.

Population Density

A measure of the number of individuals living in a unit area, usually per square kilometer or mile, indicating how crowded an area is.

Square Kilometres

A unit of area measurement equal to a square that is one kilometer on each side.