The region bounded by y=(1/2)x, y=0, x=2 is rotated around the x-axis. A) find the approximation...

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.

Solutions

Expert Solution

(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:

Colby Messinger answered 1 year ago

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