In Problems 1–10, a curve in the z-plane and a complex mapping w = f(z) are given. In each case, find the image curve in the w-plane. 1. y = x under w = 1/z

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In Problems 1-10, a curve in the z-plane and a complex mapping
w = f(z) are given. In each case, find the image curve in the
w-plane.
1. y = x under w =
1/z
2. y = 1 under w =
1/z
3. Hyperbola ry
= 1 under w = z?
Transcribed Image Text:In Problems 1-10, a curve in the z-plane and a complex mapping w = f(z) are given. In each case, find the image curve in the w-plane. 1. y = x under w = 1/z 2. y = 1 under w = 1/z 3. Hyperbola ry = 1 under w = z?
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