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Determine the image of the set S under the given complex mapping w = f(z). i) f (z) = z ; S is the line y = x

Determine the image of the set S under the given complex mapping w = f(z). i) f (z) = z ; S is the line y = x

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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see Picture please because of some symbol mistakes Thanks :)) 

Determine the image of the set S under the given complex mapping w = i) f(z). f(z) = ī ; S is the line y = x f (z) = 3iz ; S is the infinite vertical strip 2 < Re(z) < 3 z(t) = i(1 – t) + (1+ i)t, 0<t < ∞ ; f(z) = -z z(t) = i+ eit, 0<t<n; f(z) = (z – i)? ii) iii) iv)
Transcribed Image Text:Determine the image of the set S under the given complex mapping w = i) f(z). f(z) = ī ; S is the line y = x f (z) = 3iz ; S is the infinite vertical strip 2 < Re(z) < 3 z(t) = i(1 – t) + (1+ i)t, 0<t < ∞ ; f(z) = -z z(t) = i+ eit, 0<t<n; f(z) = (z – i)? ii) iii) iv)
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