A1 Let y: [, 1] C be a contour given by y(t): = it e 2...

 

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A1 Let y: [, 1] C be a contour given by y(t): = it e 2 -T t 0, 1-2t, 0t 1. (a) Sketch the contour y and indicate its direction. (b) Evaluate the contour integral (2+2) dz. z dz. (c) Evaluate the contour integral A1 Let y: [, 1] C be a contour given by y(t): = it e 2 -T t 0, 1-2t, 0t 1. (a) Sketch the contour y and indicate its direction. (b) Evaluate the contour integral (2+2) dz. z dz. (c) Evaluate the contour integral