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Volume of revolution

  1. May 9, 2007 #1
    here is the question:

    The finite plane region bounded by the curve x*y=1 and the straight line
    2x+2y=5 is rotated about that line to generate a solid of revolation. Find the volume of solid.

    İ have to do this on mapple can someone help me how can i do this.
     
  2. jcsd
  3. May 9, 2007 #2

    HallsofIvy

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    Have you drawn the graph? In particular you will need to find where the hyperbola xy= 1 and 2x+ 2y= 5. What x satisfies 2x+ 2/x= 5? You might also want to find the distance between the line and hyperbola measured along the line perpendicular to 2x+ 2y= 5. Since 2x+2y= 5 has slope -1, any line perpendicular to that has equation y= x+ b for some b.
     
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