Verify That the Vector Field F =

Multiple Choice

Verify that the vector field F = (2x y²z² - sin(x) sin(y) ) i + (2 x²y z²+ cos(x) cos(y) ) j + (2x²y² z + ) k is conservative and find a scalar potential f(x, y, z) for it that satisfies f(0, 0, 0) = 1.

A)
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) +