B3 (25 points) (a) State Green's theorem. (b) Define the two-dimensional vector field F(x,y) = (y2-a)i + (z? - a?)j. The

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B3 25 Points A State Green S Theorem B Define The Two Dimensional Vector Field F X Y Y2 A I Z A J The 1 (27.15 KiB) Viewed 21 times

B3 (25 points) (a) State Green's theorem. (b) Define the two-dimensional vector field F(x,y) = (y2-a)i + (z? - a?)j. The region 2 is shown below. Define the curve C to be the boundary of 2 traversed anticlockwise. All segments of Care either straight lines or circular arcs. Calculate fr F. dr (i) directly (ii) using Green's theorem