MATH 2415.900 LAB 7 2. PAGE 2 A particle is moved along the path from (0, 0) to (1, 2) by the force F(x, y) = 2xy2i+3yxj. Find the work done by F as our particle moves from (0, 0) to (1, 2) along each the of the paths. a. The path that is the the line segment from (0, 0) to (1, 2). b. The path consisting of the line segment from (0, 0) to (1, 0), followed by the line segment from (1, 0) to (1, 2). C. Which of the paths results in the least work?