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theman
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$5.00 Calculus help fast, its very easy but i'm not sure

  • From Mathematics: Calculus
  • Closed, but you can still post tutorials
  • Due on Apr. 25, 2008
  • Asked on Apr 24, 2008 at 4:42:43PM
Q:
A 1-km race track is to be built with two straight sides and semi-circles at the ends. Find the dimensions of the track that encloses the maximum area.

 


   
   
   
   
 
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Posted by:
sudipta
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$8.50 Fully solved with all steps shown

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  • Posted on Apr 24, 2008 at 6:13:34PM
A:
Preview: ... e for t ...

The full tutorial is about 6 words long plus attachments.

Attachments:
Track.doc (28K)
Posted by:
modulo51
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$5.00 Solution using derivative, with details...

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  • Posted on Apr 24, 2008 at 6:31:59PM
A:
Preview: ... end and lengths of straight segments then differentiating to find a maximum.<br><br>Let <br>p be the perimeter = 1 km<br>p = 2*l + 2*pi*r<br>solve for l:<br>l = (p-2*pi*r)/2<br><br>Let <br>A be the area:<br>A = pi*r^2 + 2 ...

The full tutorial is about 171 words long .
   
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