(b) A tiny, adorable, cottonball like bird flaps its wings very hard.

Near one wing, the air currents generated by the flapping can be described by the vector field

F shown as below. A dust mote travels counterclockwise in a small circle C around the point

(0,0).

2

-2

3

-3

-3

-2

-1

0

K

1

C₁

2

3

i. Is the work done by F on the particle along the circle C positive, negative, or zero? Why?

ii. Is F conservative? Explain your reason.