By using the disk method, could you solve examples 27 and 29 by showing the graphs and in detail please.
Find the volumes of the solids generated by revolving the regions
bounded by the lines and curves in Exercises 19-28 about the x-axis.
y=x^(2),y=0,x=2
y=x^(3),y=0,x=2
y=\sqrt(9-x^(2)),y=0
y=x-x^(2),y=0
y=\sqrt(cosx),0<=x<=(\pi )/(2),y=0,x=0
y=secx,y=0,x=-(\pi )/(4),x=(\pi )/(4)
25y=e^(-x),y=0,x=0,x=1
The region between the curve y=\sqrt(cotx) and the x-axis from
x=(\pi )/(6) to x=(\pi )/(2).
27 The region between the curve y=(1)/(2\sqrt(x)) and the x-axis from
x=(1)/(4) to x=4.
y=e^(x-1),y=0,x=1,x=3
In Exercises 29 and 30, find the volume of the solid generated by re-
volving the region about the given line.
The region in the first quadrant bounded above by the line
y=\sqrt(2), below by the curve y=secxtanx, and on the left by
the y-axis, about the line y=\sqrt(2)