For the following open sets(adsbygoogle = window.adsbygoogle || []).push({});

a) |Arg z| <pi/4

b) -1 < Im z <= 1

c) (Re z)^2 > 1

Sketch the sets

Which are domains

Describe the boundary

a) |Arg z |< pi/4

well ok that means

[tex] |\theta_{0} + 2 \pi k| < \pi/4 [/tex]

so the theta must alwasy be less than pi/4

im not sure how to sketch this... i mthinking its the attached diagram, but only the triangle in the first quadrant

yes it is a domain

umm is there a way to do with without diagram??

b) -1 < Im z <= 1

shaded part of 2

yes it is a domain

the region bounded by y = -1 from the bottom and unbounded above

c) (Re z)^2 > 1

like 3?

not a domain

unbounded

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# Homework Help: Fun with sets

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