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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

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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