Problem 5. (3+1+2+6 points) Let y be the boundary of the rectangle with vertices at the...

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Problem 5. (3+1+2+6 points) Let y be the boundary of the rectangle with vertices at the points 1-i, 1+2i, 1+2i, -1- i oriented in the counterclockwise direction around the origin. (a) Drawy and find a parametrization of . (b) Compute the integral Le eiz dz. (c) Prove that ez is not analytic. (d) Compute the integral Leiz ez dz using the parametrization of from (a). Problem 5. (3+1+2+6 points) Let y be the boundary of the rectangle with vertices at the points 1-i, 1+2i, 1+2i, -1- i oriented in the counterclockwise direction around the origin. (a) Drawy and find a parametrization of . (b) Compute the integral Le eiz dz. (c) Prove that ez is not analytic. (d) Compute the integral Leiz ez dz using the parametrization of from (a).

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