Consider the vector field F : R3 - R3. defined by F(x, y, z) = (ye' , et + z, y). Check that the curl of F is zero, meaning (V x F)(x, y, z) = 0. Hence it is a conservative field. Then find a scalar function / : R3 - R so that Vf(x, y, 2) = F(x, y, =)