Use Green's Theorem to Find the Work Done by the Force

question 123

Multiple Choice

Use Green's Theorem to find the work done by the force
$$\mathbf { F } ( x , y ) = \left( 6 x - 7 y ^ { 2 } \right) \mathbf { i } + 3 y \mathbf { j }$$
in moving a particle in the positive direction once around the triangle with vertices $( 0,0 ) , ( 1,0 )$ , and $( 0,1 )$ .
Select the correct answer.

• A) 7
• B) \(\frac { 7 } { 6 }\)
• C) \(\frac { 7 } { 3 }\)
• D) 42

---

Definitions:

School Nurse

A registered nurse specialized in providing healthcare for children and adolescents within the school setting, encompassing both emergency care and health education.

Teasing Prevention

Strategies and practices aimed at reducing or eliminating teasing by promoting a respectful and supportive environment.

Chronic Disabilities

Long-term impairments or conditions that limit a person's physical, mental, or sensory functions, affecting daily life and activities.

Nurse's Intervention

Actions taken by nurses to care for and improve the health outcomes of patients, including assessment, planning, implementation, and evaluation.