1. Consider a force in the x-y plane given by F = 2ryi + 3yy and the surface and path shown below. (a) by taking the curl of this force and integrating over the surface, determine whether it is a conservative force or not.(b) calculate the path integral for this force over the path shown below and relate the result to your answer in part (a) 3 (1 +a, 1+a) 2 (1, 1) 1