1)  Find the volume of the solid generated by revolving the region bounded by the graphs of the equ

Question

1)  Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line

x = 6.
graphs are:
    
    y = 6 ? x
    y = 0
    y = 4
    x = 0

2) Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines.
    
    y = 5x2
    y = 0
    x = 3    
    (a) the y-axis
                                 
    
    (b) the x-axis
                                 
    
    (c) the line y = 45
                                 
    
    (d) the line x = 3

3)
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line
x = 6.

graphs are:
    
    y = 6 ? x
    y = 0
    y = 4
    x = 0

4)Solve the differential equation. (Remember to use ln |u| where appropriate.)
    
dy
dx
= 1/[(x-1)(-4x^2+8x-1)^1/2]



                  
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