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w = f(z) = z2. S = {z: Im(z) = b} . Find the image f(S)....

w = f(z) = z2. S = {z: Im(z) = b} . Find the image f(S). Draw a picture and explain what’s happening. Note that x = a and y = b intersect in one point, but their images under f(z) = z2 intersect in 2 points. How is this possible? Can you show that the images intersect perpendicularly?

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