View Single Post
  #4   Spotlight this post!  
Unread 15-05-2013, 13:29
Ether's Avatar
Ether Ether is offline
systems engineer (retired)
no team
 
Join Date: Nov 2009
Rookie Year: 1969
Location: US
Posts: 8,028
Ether has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond repute
Re: numerical computation challenge


Nice job guys. The key was using the y=x symmetry line.

In the attached graph, the red and green lines are the two curves. The cyan line y=x is the axis of symmetry. If you subtract the cyan line from the red curve, you get the black curve.

I used Maxima to find the X-axis intercept of the black curve, and then numerically integrate the black curve from zero to that value and double it.
Attached Thumbnails
Click image for larger version

Name:	area_solve.png
Views:	24
Size:	15.0 KB
ID:	14825  Click image for larger version

Name:	area_graph.png
Views:	41
Size:	10.4 KB
ID:	14826  
Reply With Quote