13. ... state why the functions ... are harmonic in D and why ... is in face, a harmonic conjugate
11. ... Why must this satisfy Laplace's equation?
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Harmonic Functions and Cauchy-Riemann Equations
15. Determine whether or not the given function u is harmonic and, if So, in what region. If it is, find the most general conjugate function v and corresponding analytic function f (z). Express f in terms of z.
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