Consider the vector field F = (3yz, 3xz +4, 3xy+2z). The vector field is not conservative The vector field is conservative, and the potential function such that f(0, 0, 0) = 0 for ♬ is 2 f(x, y) = 3xyz +z²+1 ☑ . If F is conservative, use f(x, y) to evaluate F. dr along a piecewise smooth curve (C) from (4,-1,-2) to (0,-4,-1). F-dr = 200