My Math Forum parameterization of curve

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 July 28th, 2017, 07:01 AM #1 Member   Joined: May 2017 From: Slovenia Posts: 89 Thanks: 0 parameterization of curve I need to parameterize the curve K, which is intersection between P: z=sqrt(x^2+y^2) z
 July 28th, 2017, 08:37 AM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 2,944 Thanks: 797 The intersection of the surface $\displaystyle z= \sqrt{x^2+ y^2}$ and the plane x= 1 is, of course, $\displaystyle z= \sqrt{y^2+ 1}$. I would think that x= 1, y= t, $\displaystyle z= \sqrt{t^2+ 1}$ would be an obvious parameterization. Thanks from SenatorArmstrong and sarajoveska
July 29th, 2017, 05:54 AM   #3
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 Originally Posted by Country Boy The intersection of the surface $\displaystyle z= \sqrt{x^2+ y^2}$ and the plane x= 1 is, of course, $\displaystyle z= \sqrt{y^2+ 1}$. I would think that x= 1, y= t, $\displaystyle z= \sqrt{t^2+ 1}$ would be an obvious parameterization.
I did that too. But I was not sure about it cos I later got some weird derivatives. Thank you.

July 29th, 2017, 06:28 AM   #4
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 Originally Posted by sarajoveska I did that too. But I was not sure about it cos I later got some weird derivatives. Thank you.
If you tell us the weird derivatives, we can tell you whether they are correct or not!

July 29th, 2017, 07:29 AM   #5
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 Originally Posted by Micrm@ss If you tell us the weird derivatives, we can tell you whether they are correct or not!
I used y by mistake it should be t.
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 July 29th, 2017, 07:59 AM #6 Global Moderator   Joined: Dec 2006 Posts: 18,568 Thanks: 1483 Can you provide clear images or type your work?
July 30th, 2017, 01:44 AM   #7
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 Originally Posted by skipjack Can you provide clear images or type your work?
I hope this is better.
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 July 30th, 2017, 04:37 AM #8 Math Team   Joined: Jan 2015 From: Alabama Posts: 2,944 Thanks: 797 You didn't say anything about differentiating in your first post. What, exactly, does the exercise ask you to do? Last edited by Country Boy; July 30th, 2017 at 04:39 AM.
July 30th, 2017, 05:48 AM   #9
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 Originally Posted by Country Boy You didn't say anything about differentiating in your first post. What, exactly, does the exercise ask you to do?
First parameterization and then to find flexion of the parametrized curve.

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