For the Vector Field Field Is Conservative $\mathbf { F } ( x , y )$

question 91

Multiple Choice

For the vector field $\mathbf { F } ( x , y ) = A x ^ { 5 } y ^ { 5 } \mathbf { i } + 5 x ^ { 6 } y ^ { 4 } \mathbf { j } \text {, find the value of } A \text { for which the }$ field is conservative.

• A) 5
• B) 6
• C) 4
• D) 25
• E) \(\mathbf { F } ( x , y )\) is not conservative for any value of \(A\).

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Definitions:

Approach-approach

A conflict situation where an individual has to choose between two attractive options or goals.

Multiple approach-avoidance

A conflict situation where an individual is faced with a choice involving both attractive and negative aspects across several options.

Avoidance-avoidance Conflict

A psychological conflict that occurs when an individual is compelled to choose between two equally unattractive options or outcomes.

Approach-avoidance Conflict

A psychological conflict that occurs when a goal or situation has both positive and negative aspects, making the decision-making process challenging.