Postion dependent work

The following graph models the action of a position-dependent force, Fx (ze). (N) 4 0 12 x ( m) N a. Calculate the work done by this force for the following two paths: i. a displacement from c. = 0 torf = 8.00 m and ii. a displacement from x. = 8.00 m to x, = 10.00 m. b. Suppose a 500 g mass is pushed by a force Fpush = (-2.50 N) ? while simultaneously under the influence of the above position-dependent force. Calculate the total work done on the mass as it displaces from x. = 12.0 m to x = 4.00 m. c. If the mass started from rest and all of the transferred energy goes into its kinetic energy, what velocity does the mass end up with after the displacement in part b? Explain your work