May 19th, 2014, 07:11 AM  #1 
Member Joined: Feb 2014 Posts: 30 Thanks: 0  Parametrize
Can you help me with the parametrization of the curve C being 3/4 circle of radius 2 centered at the origin traversed from (2,0) to (0,2)? Thank you My guess is $\displaystyle x=\sqrt{2}cost \ and \ y=\sqrt{2}sint \ where \ 0<t<3\frac{\pi}{2}$ Last edited by maluita659; May 19th, 2014 at 07:26 AM. 
May 19th, 2014, 01:16 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,727 Thanks: 687  Looks good. Implicit assumption is going counterclockwise.

May 19th, 2014, 01:52 PM  #3 
Member Joined: Feb 2014 Posts: 30 Thanks: 0  
May 19th, 2014, 02:18 PM  #4 
Member Joined: Feb 2014 Posts: 30 Thanks: 0 
Oh it should be 2cost and 2sint

May 19th, 2014, 02:49 PM  #5 
Member Joined: Feb 2014 Posts: 30 Thanks: 0 
F(xy,xy) $\displaystyle \int_C{F \cdot dr}$ is positive right? Thank you 
May 20th, 2014, 04:00 PM  #6 
Global Moderator Joined: May 2007 Posts: 6,727 Thanks: 687  

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3 or 4, circle, clockwise, parametrize 
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