Sketch the corresponding curves in the z and w planes, Mechanical Engineering

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Sketch the corresponding curves in the z and w planes

Show that the mapping w = 1/z maps the circle |z - a | = a, with a being a positive real constant, onto a straight line in the w plane. Sketch the corresponding curves in the z and w planes, indicating the region onto which the interior of the circle in the z plane is mapped.

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Mechanical Engineering: Sketch the corresponding curves in the z and w planes

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Mechanical Engineering: Sketch the corresponding curves in the z and w planes

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