(Complex Analysis) The linear mapping wFUz+p, where α, β e C maps the point ZFI+1 to the point wi-i, and the poin to the point w2-1i a) Determine α and β. b) Find the region in the w-plane correspond...
(Complex analysis) Exercise 5. Find the images of the following curves under the linear mapping w = (i + V3)2 + iV3-1, where z = x + iy: a)y=0 b) x = 0 c) 2 y1 d) x2 + y2 + 2y 1 Answer b) v3u c) (11 + 1)2 + (v-V3)2 = 4 d) 11 2 + U2-8 Exercise 5. Find the images of the following curves under the linear mapping w = (i + V3)2 + iV3-1, where...