Suppose That $\vec { F }$ Is a Smooth Vector Field, Defined Everywhere

question 70

True/False

Suppose that $\vec { F }$ is a smooth vector field, defined everywhere.
It is possible that $\int _ { S } \vec { F } \cdot d \vec { A } = 3 r ^ { 2 } + 2 r$ , where S is a sphere of radius r centered at the origin.

---

Definitions:

Justice

The principle or ideal of fairness and moral righteousness, especially in the administration of the law.

Chancellor

A high-ranking official in certain legal or educational institutions, or a judge in courts of equity.

Juror

A member of a jury, which is a group of people called to render a verdict in a legal case based on evidence presented during a trial.

Appellee

The party against whom an appeal is taken—that is, the party who opposes setting aside or reversing the judgment. Sometimes referred to as the respondent.