A force acting on a particle moving in thexyplane is given by= (2y+x²), whereis in newtons andxandyare in meters. The particle moves from the origin to a final position having coordinatesx=6.00mandy=6.00m,as shown in the figure below.

) (a) Calculate the work done by F on the particle as it moves along the purple path (o). J ) (b) Calculate the work done by F on the particle as it moves along the red path (0%). J ) (c) Calculate the work done by F on the particle as it moves along the blue path (0). J