Let S be the surface z^2+x^2=1 with -17<=y<=7. Find a parameteriztion of the surface using the polar coordinates transformation equations z=Rcos(v), x=Rsin(v), and y=u, where u and v are parameters
The parameterization is already given to you, you just need to determine the domain for each parameter. [tex]z^2+x^2=1[/tex] is a cylinder that lies on the [tex]y[/tex]-axis with radius 1. You need to take [tex]0\le v\le2\pi[/tex] to get the entire lateral face, and [tex]-17\le u\le7[/tex].
