Please answer all parts! Please show all work and explain in detail. Thank you.

Question 4 Conservative Vector Fields Consider the vector field F(x, y, z) = (2xy324, 3x2y224, 4x2y323). (i) Show that F is a conservative vector field and find o such that F = Vo. (ii) Use this to evaluate F . dr, where & consists of the line segment from (1, 0, -2) to (1, 1, 0) followed by the curve given given by r(t) = (et, cos(t), t) for 0