Please specify your notation(if necessary) and explain clearly each step of your solution.
Thank you very much.
Sketch the region onto which the sector r ≤ 1, 0 ≤ θ ≤ π/4 is mapped by the transformation
(a) ω = z2
(b) ω = z3
(c) ω = z4
This shows how to sketch a region with a given transformation.