Question

Help. Cant figure this one out. I keep messing up somewhere. please sent full steps. THANKS IN ADVANCE. I will thumbs up!

9. Let F(x, y) = P(x, y) i+Q(x, y)j bе a vector field on R? with continuous partial deriva- tives. Which of the following equations corresponds to Green's theorem for F and the curve C, where is the triangle with vertices (0,0), (1,0), and (1,1) oriented counterclockwise? А. . дQ ду ӘР ду dy dx В. P dx + Q dy = о С. Pdx + Q dy = da dy Pdx + Q dy = - , , (%) ауdr к II (2009) . . +Qdy = , , - ,, (28 ) Pde +Qay = // ) f Qdx + Pdy = -/( ) ауа- О. Pdx + Qdy = + ӘР ду dac dy ƏQ дх - ӘР ду dx dy

Answer 1

a om de ada + Ndy where Curve C © by Green's theaven Salon - 2 da R is the enclosed by the oriented Counterclockwise. Can be described by 02YER the giren auction. & Pax + Ody S 100 6' )* of dy te Oļksl for R ap) da a R € ap) dady 67,5% dy