12.(a) Describe the set of points in the complex plane that satisfies |z + il + |z – i| – 1= 0.(b) Find all points at which the function f(z) :1fails to be analytic.z – 3i(c) Show that the function f(2) = z is nowhere differentiable.

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Answered: 12. (a) Describe the set of points in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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12. (a) Describe the set of points in the complex plane that satisfies |z + il + |z – i| – 1= 0. (b) Find all points at which the function f(z): 1 fails to be analytic. z – 3i (c) Show that the function f(2) = z is nowhere differentiable.