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# 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).

https://brainmass.com/math/integrals/area-surface-volume-solid-revolution-39174

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30)

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

32)

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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