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) \(\frac { 77 \left( \mathrm { e } ^ { 2 } - 1 \right) } { 2 \mathrm { e } }\)

Identify the contributions of early scholars to the understanding of intelligence inheritance.

Interpret the effects of heredity and environment on the similarity of IQ scores among twins and siblings.

Understand the impact of market risk premium on stock prices.

Recognize the effects of timing, such as the small-firm effect in specific months.

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