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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).

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    (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


    about y-axis

    Let u = 1+x
    x = u - 1
    du = dx

    when x = 0, u = 1
    when x = 3, u = 4


    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.