An artist is designing a wine glass in a flower shape, which can be generated by rotating y= sqrt(x) and x= y, between x= 0 and x= 1, about the x-axis. What is the surface area (which contains both the inside and the outside surfaces) of such a glass?
Alright, quick question: until now, I've dealt with Surface Integral problems that involved only one function [for instance, y= sqrt(x)], so inputing 'y' into the surface area formula [2 π y ds] hasn't been a problem. BUT, this one involves two [y= x and y= sqrt(x)] functions. So, my question is, how do I set it up, i.e. how do I enter them into the formula?
Thanks in advance!