2) a) Sketch the solid in the first octant in R3 formed piecewise by the surfaces z=1-x², y+z=2, and all three coordinate planes. Label all 6 corners with their ordered triples. b) Draw the projecting regions of this solid in all three coordinate planes. Include intersections of surfaces in your sketches where it applies. Make large, precise renderings of the projections. Find equations of all curves and coordinates of all points. c) Write expressions for the volume of this solid in all 6 rectangular orders of integration. dx dy dz dy dx dz dy dz dx dz dy dx dx dz dy dz dx dy