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The two complex variables w and z are related through the inverse mapping
(a) Find the images of the points z = 1, 1 - j and 0 in the w plane.
(b) Find the region of the w plane corresponding to the interior of the unit circle |z| 1 in the z plane.
(c) Find the curves in the w plane corresponding to the straight lines x = y and x + y = 1 in the z plane.
(d) Find the fixed points of the mapping.
Package Design Brief: Assume you are the packaging engineer for a large consumer products company. In this company, the Packaging Design Briefs are initiated by the marketing group and forwarded to the Package Engineering group.
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