Another Triple Integral Question

  • #1
Hello.

Here is the original question http://

My difficuly is understanding the limits of integration--- party due to how the solid in question is "sliced" by those planes. I know how to visualize the parabolic cylinder, but I need help on 1. limits on integration, and 2. Order of integration.

I doubt I would have to use polar coordinates since the region in question has no square roots...

Thanks for you help I really do appreciate this.
 
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Answers and Replies

  • #2
Arghh that links not working, just copy paste it into the url. Sorry.
 
  • #4
Divide and conquer. z appears as an independent variable once and as a constant. So, easy to eliminate x:

[tex]\int _E ()dV = \int_0^1 dz \int dy \int_z^1 ()dx[/tex]

Do you see why the upper limit on z is 1? Solve the innermost integral as tho y and z were constants.
 
  • #5
actually I dont see why the upper limit on z is one... thats where I was confused --- I understand why it starts at 0 of course... and also the y limits are giving me trouble...
 
  • #6
taking z as the independent variable, ask yourself: what is the greatest z value a point in the bounded volume can have?
 
  • #8
Ooh Bellingham--- are you a graduate student at Western Washington U. outandbeyond?
 

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