Use Green's Theorem to Evaluate the Line Integral $\int _ { C } e ^ { x } \cos ( 13 y ) d x - 13 e ^ { x } \sin ( 13 y ) d y$

question 27

Multiple Choice

Use Green's Theorem to evaluate the line integral $\int _ { C } e ^ { x } \cos ( 13 y ) d x - 13 e ^ { x } \sin ( 13 y ) d y$ where $C$ is $x ^ { 2 } + y ^ { 2 } = a ^ { 2 }$

• A) 13
• B) 14
• C) 170
• D) 26
• E) 0

---

Definitions:

Comprehensive

Including or dealing with all or nearly all elements or aspects of something, often related to a detailed and complete approach.

Reciprocally Deterministic

The concept in psychology that a person's behavior is both influenced by and influences their personal factors and the environment.

Big Five

A model describing five broad dimensions of personality traits: openness, conscientiousness, extraversion, agreeableness, and neuroticism, used to understand human behavior and personality.

Trait Dimensions

Fundamental aspects of personality that are assumed to exist on a continuum, where individuals vary in degree.