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

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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

.

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