A particle starts at the origin, moves along thex-axis to (4, 0), then along the quarter-circle

x²+y²=16,x0,y0

to the point (0,4), and then down they-axisback to the origin. Use Green's theorem to find the work done on this particle by the following force field.

F(x,y) =

sin(x), sin(y) +xy²+

1

3

x³

19. DETAILS SCALC9 16.4.022. MY NOTES ASK YOUR TEACHER A particle starts at the origin, moves along the x-axis to (4, 0), then along the quarter-circle x- + y