\text { Let } R \text { be the region in the finst quadrant bounded by } f(x)=6-x^{2}, g(x)=5 x \text { and the } y \text {-axis. Graph }

this region; label the points of intersection. a) Set up the integral(s) that will compute the volume of the solid generated by revolving this region about the x-axis. b) Use Disk/Washer method to write the integral(s) that will compute the volume of the solid formed when this region is rotated about the y-axis. c) Use Shell Method to write the integral(s) that will compute the volume of the solid formed when this region is rotated about the y-axis. d) Set up the integral(s) that will compute the volume of the solid generated by revolving this region about the line y=-2. e) Set up the integral(s) that will compute the volume of the solid generated by revolving this region about the line x=3.