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anonymous
 one year ago
Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 2, and x = 1 is revolved around the line y = −2.
anonymous
 one year ago
Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 2, and x = 1 is revolved around the line y = −2.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\pi \int\limits_{1}^{e^2} 4  \ln(x)^2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so in know that, this would be the volume if it was spun around the x axis just not sure what to do when its revolved around y = 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ganeshie8 @Hero @jim_thompson5910 any idea ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438914029970:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438914089545:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yep yep i know what it looks like, i've graphed it

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438914110494:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you agree it's this region? dw:1438914141386:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1we're going to rotate that region around the line y = 2 dw:1438914218489:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438914231869:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438914302702:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1does that help?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it does tell me if this is right

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1in a sense, you'll have 2 cylinders cylinder A with radius 4 cylinder B with radius ln(x)+2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1volume of washer = cylinder A  cylinder B

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\pi \int\limits_{1}^{e^2}16  (\ln(x) + 2)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is that right @jim_thompson5910

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh woops forgot to square the (ln(x) +2)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large \pi \int\limits_{1}^{e^2}16  (\ln(x) + 2)^2\] is correct
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