Let f1(z) and f2(z) be the two branches of the square root function given by Equations (2.28) and (2.29), respectively. Use the polar coordinate formulas in Section 2.2 to find the image of
(a) quadrant II, x<0 and y>0, under the mapping w=f1(z).
(b) quadrant II, x<0 and y>0, under the mapping w=f2(z).
(c) the right half-plane Re(z)>0 under the mapping w=f1(z).
(d) the right half-plane Re(z)>0 under the mapping w=f2(z).