For What Value of the Constant $b$ Is the Vector Field $\mathbf { F } = b x y ^ { 2 } \mathbf { i } + x ^ { 2 } y \mathbf { j }$

question 165

Multiple Choice

For what value of the constant $b$ is the vector field $\mathbf { F } = b x y ^ { 2 } \mathbf { i } + x ^ { 2 } y \mathbf { j }$ conservative?

• A) \(0\)
• B) \(\frac { 1 } { 4 }\)
• C)\(\frac { 1 } { 2 }\)
• D)\(\frac { 3 } { 4 }\)
• E)\(1\)
• F) \(\frac { 5 } { 4 }\)
• G)\(\frac { 3 } { 2 }\)
• H)No constant

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