Suppose F? (x,y)=?2y,?sin(y)? and C isthe circle of radius 9 centered at the origin orientedcounterclockwise.

(a) Find a vector parametric equation r? (t) for thecircle C that starts at the point (9,0) andtravels around the circle once counterclockwisefor 0?t?2?.
r? (t)=

(b) Using your parametrization in part (a), set up an integral forcalculating the circulationof F? around C.
?CF? ?dr? =?baF? (r? (t))?r? ?(t)dt=?ba dt
with limits ofintegration a= and b=

(c) Find the circulationof F? around C.
Circulation =