(a) Set up and directly compute the line integral for the outward flux of the field...

   

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(a) Set up and directly compute the line integral for the outward flux of the field F = -y'i+r²j across the closed semicircular path that consists of the path x2 + y? = 4, y > 0, and the straight line segment on the x-axis x E |-2, 2]. (b) Use the appropriate Green's Theorem to compute the flux in part (a) via a double integral. %3D (a) Set up and directly compute the line integral for the outward flux of the field F = -y'i+r²j across the closed semicircular path that consists of the path x2 + y? = 4, y > 0, and the straight line segment on the x-axis x E |-2, 2]. (b) Use the appropriate Green's Theorem to compute the flux in part (a) via a double integral. %3D