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Question: i find all the poles of the function 2222 2z...

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(i) Find all the poles of the function 2222 -2z +5) and plot them on an Argand diagram. Hence, evaluate the integral z)dz, writting your solution in the form a + jb, where a and b are real, and (a) C is the circle |2|3 (b) C is the circle |z-4] = 1 15 marks (ii) By constructing a suitable contour integral in the complex plane, use the method of residues to evaluate the real integral 0O o 5+2a +2

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