Use the Given Transformation to Evaluate the Integral $$\begin{array} { l } u = y - x , v = y + x ; \\\quad \iint \cosh \left( \frac { y - x } { y + x } \right) d x d y\end{array}$$

question 110

Multiple Choice

Use the given transformation to evaluate the integral.
- $$\begin{array} { l } u = y - x , v = y + x ; \\\quad \iint \cosh \left( \frac { y - x } { y + x } \right) d x d y\end{array}$$
where $R$ is the trapezoid with vertices at $( 6,0 ) , ( 7,0 ) , ( 0,6 ) , ( 0,7 )$

• A) \(\frac { 13 \left( e ^ { 2 } - 1 \right) } { 6 e }\)
• B) \(\frac { 13 \left( \mathrm { e } ^ { 2 } - 1 \right) } { 3 \mathrm { e } }\)
• C) \(\frac { 13 \left( \mathrm { e } ^ { 2 } - 1 \right) } { 4 \mathrm { e } }\)
• D) \(\frac { 13 \left( \mathrm { e } ^ { 2 } - 1 \right) } { 2 \mathrm { e } }\)

---

Definitions:

Bacterial Plasmid

Small, circular, double-stranded DNA molecules found in bacteria, which can replicate independently and often carry genes beneficial to the survival of the bacteria, such as antibiotic resistance genes.

Human DNA

The complete set of nucleic acid sequences for humans, encoding the genetic instructions used in the development and functioning of human organisms.

Gene Pharming

A technology that uses genetically modified animals or plants to produce pharmaceuticals.

Therapeutic Proteins

Biologically derived proteins used in the treatment and management of diseases.