Verify that the vector field F = (2x y 2 z 2 - sin(x)sin(y)) i + (2 x 2 y z 2 + cos(x)cos(y)) j + (2x 2 y 2 z + ) k is conservative and find a scalar potential f(x, y, z) for it that satisfies f(0, 0, 0) = 1.

B) f(x, y, z) = + cos(x)sin(y) + + 1
C) f(x, y, z) = + sin(x)cos(y) + + 1
D) f(x, y, z) = + cos(x)sin(y) +
E) f(x, y, z) = xyz + cos(x)sin(y) +

Question

Verify that the vector field  F  =  (2x  y 2 z 2 - sin(x)sin(y)) i  +  (2 x 2 y  z 2 + cos(x)cos(y)) j  +  (2x 2 y 2 z +  ) k  is conservative and find a scalar potential  f(x, y, z)  for it that satisfies  f(0, 0, 0) = 1.

B) f(x, y, z) = + cos(x)sin(y) + + 1 
C) f(x, y, z) = + sin(x)cos(y) + + 1 
D) f(x, y, z) = + cos(x)sin(y) + 
E) f(x, y, z) = xyz + cos(x)sin(y) +

Quizplus · Accepted Answer

The Answer of Verify that the vector field  F  =  (2x  y 2 z 2 - sin(x)sin(y)) i  +  (2 x 2 y  z 2 + cos(x)cos(y)) j  +  (2x 2 y 2 z +  ) k  is conservative and find a scalar potential  f(x, y, z)  for it that satisfies  f(0, 0, 0) = 1.

B) f(x, y, z) = + cos(x)sin(y) + + 1 
C) f(x, y, z) = + sin(x)cos(y) + + 1 
D) f(x, y, z) = + cos(x)sin(y) + 
E) f(x, y, z) = xyz + cos(x)sin(y) +

Verify That the Vector Field F =