Consider the regionRenclosed by the curvesxy= 4 andx+y= 5 and the solid obtained by revolvingRabout thex-axis.

a) (2 marks) Find the points of intersection of the two curves, and then sketch the region.

b) (3 marks) Find the volume of the solid using the washer method (you will integrate with respect tox).

c) (3 marks) Find the volume of the solid using cylindrical shells (you will integrate with respect toy).