In: Advanced Math
The region bounded by y=(1/2)x, y=0, x=2 is rotated around the x-axis.
A) find the approximation of the volume given by the right riemann sum with n=1 using the disk method. Sketch the cylinder that gives approximation of the volume.
B) Fine dthe approximation of the volume by the midpoint riemann sum with n=2 using disk method. sketch the two cylinders.
(A): Right Riemann Sum with n=1
Figure: The region under the continuous curve y =
f(x) on the interval [a, b]. Right: The solid generated by rotating
the region about the x-axis.
(B): Midpoint Riemann Sum with n=2: