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

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 $A$ .