Test the Vector Field F to Determine If It Is $$\mathbf { F } = 4 x ^ { 3 } y ^ { 4 } z ^ { 4 } i + 4 x ^ { 4 } y ^ { 3 } z ^ { 4 } j + 4 x ^ { 4 } y ^ { 4 } z ^ { 3 } k$$

question 140

Multiple Choice

Test the vector field F to determine if it is conservative.
- $$\mathbf { F } = 4 x ^ { 3 } y ^ { 4 } z ^ { 4 } i + 4 x ^ { 4 } y ^ { 3 } z ^ { 4 } j + 4 x ^ { 4 } y ^ { 4 } z ^ { 3 } k$$

• A) Not conservative
• B) Conservative

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Definitions:

Categorical Syllogism

A form of deductive reasoning consisting of three parts: a major premise, a minor premise, and a conclusion, each of which may be an assertion or a denial.

Major Term

In syllogistic logic, the predicate of the conclusion, which appears in one of the premises.

Minor Term

In syllogistic logic, the term that appears in the conclusion as the subject and is a specific instance within the general category of the major term.

Middle Term

In a syllogism, the term that appears in both premises but not in the conclusion, serving as a link between the two other terms.