a) Set up, but do not evaluate, a triple integral for the volume of the region [i]G[/i] sitting in the first octant and bounded by the cylinder [math]x^2+y^2=2[/math], the parabolic cylinder [math]y=1-x^2[/math] and the plane [math]z=4[/math].
b) Using the Pen Tool, sketch the projection of the solid region (denoted as R) on the 2D-plane.