Test the Vector Field F to Determine If It Is

Multiple Choice

Test the vector field F to determine if it is conservative.
- $$\mathbf { F } = \left( \frac { 9 x ^ { 8 } \left( y - x ^ { 2 } \right) ^ { 9 } } { z } \right) i + \left( \frac { 5 x ^ { 9 } \left( y - x ^ { 2 } \right) ^ { 8 } } { z } \right) j - \left( \frac { x ^ { 9 } \left( y - x ^ { 2 } \right) ^ { 5 } } { z ^ { 2 } } \right) \mathbf { k }$$

A) Conservative
B) Not conservative