A volume is described as follows: 1. the base is the region bounded by y = e2.8x. , y = 2.8x + 0.9 and x = 1; 2. every cross section perpendicular to the x-axis is a square. Find the volume of this object. volume = 29.964 XA volume is described as follows: 1. the base is the region bounded by x = -y" + 12y + 19 and x = y" - 26 + 175; 2. every cross section perpendicular to the y-axis is a semi-circle. Find the volume of this object. volume =A volume is described as follows: 1. the base is the region bounded by y = 6 - 6x2 and y = 0 2. every cross section parallel to the x-axis is a triangle whose height and base are equal. Find the volume of this object. volume =The base of a solid is the region in the xy-plane between the the lines y = x, y = 5x, x = 3 and x = 5. Cross- sections of the solid perpendicular to the x-axis (and to the xy-plane) are squares. The volume of this solid is:Use cylindrical shells to find the volume formed by rotating the region in the first quadrant enclosed by: y = 0.6 - 0.8|x - 15| and y = 0 about the y-axisFind the volume of the solid generated by revolving the region bounded by the graphs of the equations y = -x4+9 y =0 x = 0 around the line x = 9.Find the volume of the solid generated by revolving the region bounded by the graphs of the equations 2 2 y = e 2 x = 8 x = 0 around the y-axis.The area between x = 0, y = 2, and f(x) = vx is to be rotated about the x- axis to generate a solid. 2 - - -2 -1 1 2 3 4 5 6 7 8 9 (a) Set up the integral that represents the volume using the disk method. Disk Volume = dx (b) Set up the integral that represents the volume using the shell method. Shell Volume = dyThe area between y = 0, f(x) = vx and x = 16 is to be rotated about the x- axis to generate a solid. 2 8 9 10 11 12 13 14 15 16 17 (a) Set up the integral that represents the volume using the disk method. 16 Disk Volume dx (b) Set up the integral that represents the volume using the shell method. Shell Volume = dyThe area between x = 0, y = e", and f(x) = e is to be rotated about the x- axis to generate a solid. 8 6 No 2 Q (a) Set up the integral that represents the volume using the disk method. Disk Volume = dx (b) Set up the integral that represents the volume using the shell method. e 2 Shell Volume = dy