Graph the orthogonal net of the two families of level curves Re f(z) – const and 1m f(z) = const, where
(a) f(z) = z4,
(b) f(z) = 1/z,
(c) f(z) = 1/z2,
(d) f(z) = (z + i) / (1 + iz). Why do these curves generally intersect at right angles? In your work, experiment to het 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.