1. Find the Lateral Surface Area under the surface: f(x, y) = x2y, y1 x2+ y2 = 4 over the given path C: x +y =4, from (2,0) to (-2, 0). -> (-2, 0) (2, 0) X 2. Given the vector field: F(x, y, z) = , a) show that F is conservative, and find its potential function, f. b) Find the work done by the force F moving an object on a smooth path from: A(2, 1, 0) to B(1, 4, 2). (0, 4) 3. Evaluate: x2 dx - xy dy , for the given path C, -> a) using Green's Theorem, and b) using line integrals. (0, 0) (2, 0) X