Consider the region R bounded by    a) Sketch a graph of the…

Consider the region R bounded by    a) Sketch a graph of the region R, and shade the region on your sketch, using your calculator as needed. Tell whether R is vertically simple, horizontally simple, both, or neither. b) Set up (but do NOT evaluate) a SINGLE INTEGRAL which represents the volume of the solid obtained by rotating R about the x-axis (y=0). Your answer will be ONE definite integral in one variable. c) Set up (but do NOT evaluate) a SINGLE INTEGRAL which represents the volume of the solid obtained by rotating R about the y-axis (x=0). Your answer will be ONE definite integral in one variable.