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

Multiple Choice

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

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