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anonymous
 5 years ago
when integrating to find surface area, the usual equations per rotating xaxis or yaxis are the limits of 2(pi)y ds or 2(pi)x ds, however, what about when rotating it around a line eg (x=2) or (y=2)?
anonymous
 5 years ago
when integrating to find surface area, the usual equations per rotating xaxis or yaxis are the limits of 2(pi)y ds or 2(pi)x ds, however, what about when rotating it around a line eg (x=2) or (y=2)?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0In the case of rotating about a line parallel to the xaxis, and therefore using 2(pi)y, you have to adjust the yvalue (here, the height of the frustrum used to generate the surface area). So, if you have to rotate about y=2, you would have to adjust your element of surface area as \[2\pi(y2)ds\]Similarly for rotating about the line x=2, parallel to the yaxis. Hope it helps.
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