Calculate the Flow in the Field F Along the Path

question 203

Multiple Choice

Calculate the flow in the field F along the path C.
- $\mathbf { F } = ( \mathrm { x } - \mathrm { y } ) \mathbf { i } - \left( \mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } \right) \mathbf { j } ; \mathrm { C }$ is curve from $( 4,0 )$ to $( - 4,0 )$ on the upper half of the circle $\mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } = 16$

• A) \(8 \pi\)
• B) \(- 8 \pi\)
• C) \(\frac { 16 \pi - 1 } { 4 }\)
• D) \(16 \pi\)

---

Definitions:

Polyandry

A form of marriage in which a woman has two or more husbands at the same time, rare compared to polygyny.

Polygyny

A system of marriage that allows men to have multiple wives.

Mixed-Race Unions

Romantic or marital relationships between partners who identify as belonging to different racial groups.

1960s

A decade marked by significant cultural, political, and social changes worldwide, including movements for civil rights, environmentalism, and counter-culture.