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For each part below, calculate all quantities that are not given from the following list:F (z), φ, ψ, w(z), ~vNote that F (z) is the complex potential, φ is the velocity potential, ψ is the stream function, w(z)is the complex velocity, and ~v is the real velocity. If a quantity does not exist, state why not.i) F = (1/3)iz3ii) ψ = ex cos(y)iii) φ = ln √(x2 + y2)iv) w = z + 1/zv) ~v = xˆi + yˆj

For each part below, calculate all quantities that are not given from the following list:F (z), φ, ψ, w(z), ~vNote that F (z) is the complex potential, φ is the velocity potential, ψ is the stream function, w(z)is the complex velocity, and ~v is the real velocity. If a quantity does not exist, state why not.i) F = (1/3)iz3ii) ψ = ex cos(y)iii) φ = ln √(x2 + y2)iv) w = z + 1/zv) ~v = xˆi + yˆj

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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For each part below, calculate all quantities that are not given from the following list:
F (z), φ, ψ, w(z), ~v
Note that F (z) is the complex potential, φ is the velocity potential, ψ is the stream function, w(z)
is the complex velocity, and ~v is the real velocity. If a quantity does not exist, state why not.
i) F = (1/3)iz3
ii) ψ = ex cos(y)
iii) φ = ln √(x2 + y2)
iv) w = z + 1/z
v) ~v = xˆi + yˆj

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