Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines. y = root x
y = 0
x = 3
the x-axis
the y-axis
the line x = 3
the line x = 6

x-axis =

y-axis =

Line x =3 :  

Line x = 6 :

Step-by-step explanation:

Given lines : y = √x

                     y = 0

                     x = 3

To determine the volumes generated we will use the disk method for each of the lines,

attached below is the detailed solution for  line x =3 , same procedure will be repeated for each value of x and y to obtain the given results

The volume generated  ( x axis )

=

volume generated ( y _axis )

=  

Volume about  x = 3

=  

Volume about  x = 6

=

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w