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The Area Between 3 Curves?

  1. Feb 24, 2006 #1
    hi,
    the question goes as follows:
    y = x^2, y=1/x, y=4 for the first quadrant.

    This may be a dumb question :blushing: but how do I figure out the points at which these three intersect? Do I first set the first two equal to each other and then set the resulting equation equal to 4? Thanks!
    -heather
     
  2. jcsd
  3. Feb 24, 2006 #2
    you first find the three intersection points... taking two at a time.
    take only the solutions that lie in the first quadrant.
    and then see what curves u need to integrate....
    i hope that helps.
    p.s. - plotting the curves simultaneously on a graph paper might help.
     
  4. Feb 24, 2006 #3
    You can do it by setting each two equations equal to each other, i.e. y1=y2, y1=y3 and y2=y3.

    Edit: Late as usual.... but I agree with anjor; plot them.
     
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