Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y = 6x + 7 and the parabola y =x about the following lines. a. The line x=7 b. The line x= -1...

Extracted text: Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y = 6x + 7 and the parabola y =x about the following lines. a. The line x=7 b. The line x= -1 c. The x-axis d. The line y = 49 (a) The volume of the given solid is. (Type an exact answer in terms of x.)