Problems 12.1.) For each of the following domains, determine whether it is simply connected, multiply connected, or neither (not connected): (a). A = {z: 0 < |2z1|< 3}, (b). B = {z: Argz 0}, (c). C = {z|zi|> 1, |z3|> 3 and |2| < 10}, (d). D = {z: Imz 0}, (e). E = {z ;|z| <1 and Rez <0}, (f). F = C/- {x+iy: 0≤x≤ 3}.

Graph f(x)=5x2+10x+3 by using its properties.

Find the product of x2+3y and x23y.

A recording company is to release 90 new CDs in the categories of​ rock, country,​ jazz, and classical. If twice the number of rock CDs is to equal three times the number of country CDs and if the number of jazz CDs is to equal the number of classical​ CDs, how can the CDs be distributed among the four​ types? (Let x be the number of rock​ CDs, y the number of country​ CDs, z the number of jazz​ CDs, and w the number of classical CDs. Let w be the​ parameter.)