Determine Whether or Not Vector Field Is Conservative $f$ Such That $\mathbf { F } = \nabla f$

question 28

Short Answer

Determine whether or not vector field is conservative. If it is conservative, find a function $f$ such that $\mathbf { F } = \nabla f$ .
$$\mathbf { F } ( x , y , z ) = 5 z y \mathbf { i } + 5 x z \mathbf { j } + 5 x y \mathbf { k }$$

---

Definitions:

Inherit

Inherit refers to the process by which properties, titles, debts, rights, and obligations are transferred from one generation to another upon the death of an individual.

Theoretical Perspective

A specific viewpoint or set of principles that guides research and analysis within a field of study.

Gender

Gender refers to the roles, behaviors, activities, and attributes that a given society considers appropriate for men, women, and other gender identities.

Aggressive

Behavior characterized by or resulting from a forceful and energetic action or attitude.