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We define the vector field F : R 2 tends towards R 2 F : (x,y): =(7x+15x 2 y+5y+3y 2 , 5x 3 +2xy+4x+2y) (a)

We define the vector field F: R2 tends towards R2

F: (x,y): =(7x+15x2y+5y+3y2, 5x3+2xy+4x+2y)

(a) Calculate the scalar rotation ofF

(b) Let A:={(x,y):x2+y21} . Using Green's theorem calculate

dAFds

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