Find all points at which the following
Chapter 17, Problem 17.1.23(choose chapter or problem)
CAS EXPERIMENT. Orthogonal Nets. Graph the orthogonal net of the two families of level curves Re f const and Im f(z) = const, where
(a) \(f(z)=z^{4}\)
(b) f(z) = 1/z
(c) \(f(z)=1 / z^{2}\)
(d) f(z) = (z + i)/(1 + iz)
Why do these curves generally intersect at right angles? In your work, experiment to get the best possible graphs. Also do the same for other functions of your own choice. Observe and record shortcomings of your CAS and means to overcome such deficiencies.
Text Transcription:
f(z)=z^{4}
f(z)=1 / z^2
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