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Question(a) Determine the volume of the solid obtained by rotating the region bounded by

`y=`

Find the area of the surface generated by revolving the region bounded by the curve

`1-`

`(y^(2))/(4)=x`

and

`y=2(x-1)^(2)`

(Just set up the integration is enough, no need to calculate the integration). (a) about

`x`

-axis; (b) about

`y`

-axis.

`(x-1)^(2)`

and

`y=(x)/(2)`

about

`x=2`

. (b) Determine the volume of the solid obtained by rotating the region bounded by

`y=`

`3\sqrt(2x-1),x=5`

and

`x`

-axis about

`x`

-axis using both disk method and shell method. Find the volume of the solid generated by revolving the region bounded by the curve

`3\sqrt(2x-1)`

and

`2x-1`

. (a) about the

`y`

-axis. (b) about the line

`x`

-axis. (c) about the line

`x=5`

.