What value of the constant a makes the vector field $\mathbf { F } ( x , y , z ) = 2 x z \mathbf { i } + a y ^ { 2 } z \mathbf { j } + \left( x ^ { 2 } + y ^ { 3 } \right) \mathbf { k }$ conservative?
A) $- 2$
B) $- 1$
C)$0$
D) $1$
E) $2$
F)$3$
G) $4$
H)$5$

Question

What value of the constant a makes the vector field $\mathbf { F } ( x , y , z ) = 2 x z \mathbf { i } + a y ^ { 2 } z \mathbf { j } + \left( x ^ { 2 } + y ^ { 3 } \right) \mathbf { k }$ conservative?
A) $- 2$ 
B) $- 1$
C)$0$ 
D) $1$
E) $2$ 
F)$3$
G) $4$
H)$5$

Quizplus · Accepted Answer

The Answer of What value of the constant a makes the vector field $\mathbf { F } ( x , y , z ) = 2 x z \mathbf { i } + a y ^ { 2 } z \mathbf { j } + \left( x ^ { 2 } + y ^ { 3 } \right) \mathbf { k }$ conservative?
A) $- 2$ 
B) $- 1$
C)$0$ 
D) $1$
E) $2$ 
F)$3$
G) $4$
H)$5$

What Value of the Constant a Makes the Vector Field F(x,y,z)=2xzi+ay2zj+(x2+y3)k\mathbf { F } ( x , y , z ) = 2 x z \mathbf { i } + a y ^ { 2 } z \mathbf { j } + \left( x ^ { 2 } + y ^ { 3 } \right) \mathbf { k }F(x,y,z)=2xzi+ay2zj+(x2+y3)k

What Value of the Constant a Makes the Vector Field $\mathbf { F } ( x , y , z ) = 2 x z \mathbf { i } + a y ^ { 2 } z \mathbf { j } + \left( x ^ { 2 } + y ^ { 3 } \right) \mathbf { k }$