Use Green's Theorem to Evaluate the Line Integral Along the Positively

question 16

Multiple Choice

Use Green's Theorem to evaluate the line integral along the positively oriented closed curve $C$ . $\oint _ { C } 3 x y d x + 4 x ^ { 2 } d y$ , where $\mathrm { C }$ is the triangle with vertices $( 0,0 ) , ( 3,4 )$ , and $( 0,4 )$

• A) 6
• B) 60
• C) 30
• D) 66

---

Definitions:

Source of Income

The origin or means through which an individual, company, or government receives money, typically through work, investments, or sales.

Quid Pro Quo

A Latin phrase meaning "something for something," referring to a situation where two parties engage in a mutual exchange of goods or services.

Sexual Harassment

Unwanted or inappropriate sexual advances, requests for sexual favors, and other verbal or physical harassment of a sexual nature.

Hostile Environment

A work or learning environment that is unwelcoming or offensive, often due to harassment or discrimination, making it difficult for individuals to perform effectively.