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Test the Vector Field F to Determine If It Is

question 188

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Test the vector field F to determine if it is conservative.
- F=(9x8(yx2) 9z) i+(5x9(yx2) 8z) j(x9(yx2) 5z2) k\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 }


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