Evaluate the Integral by Making an Appropriate Change of Variables $$\iint _ { z } \frac { 2 x - 3 y } { 5 x + 2 y } d A$$

question 26

Short Answer

Evaluate the integral by making an appropriate change of variables. Round your answer to two decimal places.
$$\iint _ { z } \frac { 2 x - 3 y } { 5 x + 2 y } d A$$
$R$ is the parallelogram bounded by the lines
$$2 x - 3 y = - 5,2 x - 3 y = - 2,5 x + 2 y = - 5,5 x + 2 y = - 3 \text {. }$$

---

Definitions:

External Validity

External validity refers to the extent to which the outcomes of a study can be generalized or applied beyond the specific study context or sample, including to other populations, settings, treatment variables, and measurement variables.

Systematic Errors

Biases or errors that consistently affect the results of a study in a specific direction, arising from the research design or methodology.

Inconsistent

Lacking in uniformity, stability, or agreement; often displaying variability.

Systematic Errors

Errors that are consistently reproducible and can be traced to a flaw in the measurement system, often affecting the accuracy of an experiment or study.