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(b) Let F(x, y, z) = -2yi -3zj - 5xk and C be the circle x2 + y? = 9 that forms the boundary of

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(b) Let F(x, y, z) = -2yi -3zj - 5xk and C be the circle x2 + y? = 9 that forms the boundary of o in the xy -plane where o is the portion of the paraboloid, z =9 - x2 - y' for which z 2 0. (n is pointing outward) (i) Evaluate F. dr C (5 marks) (ii) Evaluate (curl F). nds (5 marks) (iii) State your conclusion from the answers in parts (i) and (ii). (2 marks)

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