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(b) Verify Greens Theorem by evaluating the circulation for the vector field Take the domain of integration to be the disk R: x2 + y2 circle C as the closed path. a2 and its bounding (6 marks) (c) Verify Stokes Theorem ^ for the vector field F(x, y, z) = (2t-y) + (x + z)/ + (3x-2y)k. The n is the outward pointing unit normal, S is the surface of the paraboloid defined by z-9-x2-Уг, and z 20. (7 marks)


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