Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. F = (4x + ex siny) i+ (5x + ex cosy) j C: The right-hand loop of the lemniscate r = cos 20 . . . Describe the given region using polar coordinates. Choose 0-values between - it and It. SOS 4 0 srs , cos (20) (Type exact answers.) The outward flux is (Type an integer or a simplified fraction.)Counter clockwise let Pur,y) = yat ex sing HOW . OP = 02 cosy 20 - 5+ ex cosy xe The counterclockwise circulation for F around curve c cli. Q F . Tds = 6 P . gz + 0 dy JC H (20 - Op ) dady. = ff ( 5 + ex cosy - ex cory / dady = 5 dady 'S 1/ 4 5 r dydo. to 1/ 4 * / 4 8 2 cos 20 do. 2 do = - 1/4 = S Sinzo 2 J- I/q 5 SInA + SInA ]=5 OF . Tds = 5 And