1point) suppose f∫ (x, y)=⟨2y,−sin(y)⟩ and c is the circle of radius 5 centered at the origin oriented counterclockwise.

(a) find a vector parametric equation r∫ (t) for the circle c that starts at the point (5,0) and travels around the circle once counterclockwise for 0≤t≤2π. r? (t)=
(b) using your parametrization in part (a), set up an integral for calculating the circulation of f? around c. ∫cf∫∫ dr =∫baf∫ (r∫ (t))∫r∫ ′(t)dt=∫ba dt with limits of integration a= 0 and b= 1
(c) find the circulation of f? around c.
circulation =