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

Question

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

Quizplus · Accepted Answer

The Answer of 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

For What Value of the Constant bbb Is the Vector Field F=bxy2i+x2yj\mathbf { F } = b x y ^ { 2 } \mathbf { i } + x ^ { 2 } y \mathbf { j }F=bxy2i+x2yj

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