My Math Forum Parametrize 3/4 circle clockwise

 Calculus Calculus Math Forum

 May 19th, 2014, 08:11 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 $\displaystyle x=\sqrt{2}cost \ and \ y=\sqrt{2}sint \ where \ 0 May 19th, 2014, 02:16 PM #2 Global Moderator Joined: May 2007 Posts: 6,684 Thanks: 658 Quote:  Originally Posted by maluita659 Can you help me with the parametrization of the curve C being 3/4 circle of radius 2 centered at the origin traversed from (2,0) to (0,-2)? Thank you My guess is$\displaystyle x=\sqrt{2}cost \ and \ y=\sqrt{2}sint \ where \ 0
Looks good. Implicit assumption is going counterclockwise.

May 19th, 2014, 02:52 PM   #3
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Quote:
 Originally Posted by mathman Looks good. Implicit assumption is going counterclockwise.
Thank you

 May 19th, 2014, 03:18 PM #4 Member   Joined: Feb 2014 Posts: 30 Thanks: 0 Oh it should be 2cost and 2sint
 May 19th, 2014, 03:49 PM #5 Member   Joined: Feb 2014 Posts: 30 Thanks: 0 F(x-y,xy) $\displaystyle \int_C{F \cdot dr}$ is positive right? Thank you
May 20th, 2014, 05:00 PM   #6
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Quote:
 Originally Posted by maluita659 Oh it should be 2cost and 2sint
You are right

 Tags 3 or 4, circle, clockwise, parametrize

### a circle centeres at the orgin with radius 16, traversed counterclockwise starting

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