# Area of Surface and Volume of Solid of Revolution (12 Problems)

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Find the area of the surface generated when the arc of the curve... between t=0 and y=1 is revolved about:

a) the y-axis b) the x-axis c) the line y= -1

Please see attached for all twelve questions (circled problems).

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30)

(a) about y-axis

Because the curve is in quadrant II, area becomes negative. To get the right sign, include a negative sign in front of the integral.

b) about x-axis

c) about y = -1

32)

about y-axis

Let u = 1+x

x = u - 1

du = dx

when x = 0, u = 1

when x = 3, u = 4

36)

Refer to the ...

#### Solution Summary

Twelve problems regarding Area of Surface and Volume of Solid of Revolution are solved. The solution is detailed and well presented.

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