anonymous
  • anonymous
PLEASE HELP!! The region enclosed by the line x + y = 1 and the coordinate axes is rotated about the line y = -1. What is the volume of the solid generated?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1332734081841:dw|
anonymous
  • anonymous
ready to do this?....
anonymous
  • anonymous
what's R = ?

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anonymous
  • anonymous
R=1-x-1
anonymous
  • anonymous
ok. what's r =?
anonymous
  • anonymous
thats where i'm lost..
anonymous
  • anonymous
r = 1. sorry your R should be 1-x+1
anonymous
  • anonymous
R and r is the distance from the axis of revolution
anonymous
  • anonymous
|dw:1332735108001:dw|
anonymous
  • anonymous
ok then it'd be \[\pi \int\limits_{0}^{2}(1-x+1)^{2}-(1)^{2} dx\]??
anonymous
  • anonymous
check your limits of integration... your integrating with respect to x your region does not go to x = 2
anonymous
  • anonymous
i dont understand why it wouldnt be 2
anonymous
  • anonymous
|dw:1332736538436:dw| look at the representative rectangle... it will only go from x=0 to x=1. that should be your limits of integration
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
i came up with \[2\pi \div3\]

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