Use the Given Transformation to Evaluate the Integral $$\begin{array} { l } u = y - x , v = y + x \\\iint _ { R } e ^ { \frac { y - x } { y + x } } d x d y ,\end{array}$$

question 364

Multiple Choice

Use the given transformation to evaluate the integral.
- $$\begin{array} { l } u = y - x , v = y + x \\\iint _ { R } e ^ { \frac { y - x } { y + x } } d x d y ,\end{array}$$
where $R$ is the trapezoid with vertices at $( 2,0 ) , ( 9,0 ) , ( 0,2 ) , ( 0,9 )$

• A) \(\frac { 77 \left( \mathrm { e } ^ { 2 } - 1 \right) } { 3 \mathrm { e } }\)
• B) \(\frac { 77 \left( \mathrm { e } ^ { 2 } - 1 \right) } { 4 \mathrm { e } }\)
• C) \(\frac { 77 \left( e ^ { 2 } - 1 \right) } { 6 e }\)
• D) \(\frac { 77 \left( \mathrm { e } ^ { 2 } - 1 \right) } { 2 \mathrm { e } }\)

---

Definitions:

Mental Processes

Internal cognitive operations that enable individuals to perceive, remember, think, and solve problems.

Glycogen Storage Diseases

A group of rare genetic disorders characterized by problems in the storage and mobilization of glycogen in various parts of the body.

Lysosomal Storage Diseases

A group of inherited metabolic disorders characterized by an enzyme deficiency that results in an accumulation of toxic materials in the body's cells.

Bipolar Disorder

A mental health condition characterized by extreme mood swings including emotional highs (mania or hypomania) and lows (depression).