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Q6 (a) A complex function is given by f(r, y) = sin ry + icosry: (i) Determine if the function is analytic or not. (ii)

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Q6 (a) A complex function is given by f(r, y) = sin ry + icosry: (i) Determine if the function is analytic or not. (ii) Integrate the function f along the straight line in the Argand plane that goes from 0 + 0i along y = r to o +ico. Hint: you may use the integral So e it at = (1 - i) V3./ (b) (i) Draw the body enclosed by the paraboloid z - 1 -12 - y and the plane 2 - 1/2. (ii) Determine the volume of the body

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