In: Math
a.) Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=1/x, y=1/x, y=0, y=0, x=1, x=1, and x=3x=3 about the xx-axis.
b.) Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=x^2 and y^2=x about the x-axis.
c.) Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves x= y - y^2 and x= 0 about the y-axis
d.) Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y^2= x and x = 2y about the y-axis
e.) Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y = x ,y= 0, x = 2, and x= 4 about the line x = 1
e.) Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y = x and y= sqrt(x)