Is there a trick to rotating functions around the y-axis and finding the volume? What about rotating around a line like Y=6, but the function doesn't even touch that line? My calc teacher is foriegn and doesn't speak great English, so it can be hard to understand what she is saying. This has been really self-taught the whole year... :( .
O yea, we are using the disk method and the washer method and I am lost in the forest...
Volumes of Rotation using Disk Method
March 21, 2006 - 20:28
#1
Volumes of Rotation using Disk Method
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Sorry to hear that...
But yes, there is a trick. To rotate a function about the y-axis the first thing you have to do is put the function in terms of x instead of y. Then you do the same thing you do when rotating about the x-axis only with y as your variable. Make sure that you make your limits of integration in terms of y also, that can really throw you off.
To rotate around a like such as y=6, you have to rewrite the function so that that line acts as the axis. So if you're trying to rotate y=x^2 about y=1, you'd have to change it to y=x^2-1 and then you should be fine. If you're still confused post again, or e-mail me, or you can try iming me, but it may take me until tomorrow morning or afternoon to answer.
Good Luck!!:o
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