Practice Test

 

Use Shell Method and/or Disk/Washer Method.   Find the volume of the solid formed by revolving the region bounded by:

 

1.         y = x2 + 2, y = 2, x = 0  and x = 3 about

a.                   x-axis              

b.                  y = 2               

 

2.         , y = 1 x = 0  and x = 4 about

            a.         x-axis              

            b.         x = -1             

 

3.         y = x2, y = 4 about the

 

            a.         x = 4               

b.         x-axis              

 

4.         y = x3, y = 1, x = 2

 

            a.         x = 2                      

            b.         y = 10