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August 5th, 2012, 04:03 PM  #1 
Senior Member Joined: Aug 2012 From: South Carolina Posts: 866 Thanks: 0  Find a set of parametric equations for the rectangular equat
problem #1 y = 3x + 3 problem #2 y = x^4 + 4 
August 5th, 2012, 04:16 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 522 Math Focus: Calculus/ODEs  Re: Find a set of parametric equations for the rectangular e
For both problems try letting .

August 5th, 2012, 09:02 PM  #3 
Senior Member Joined: Aug 2012 From: South Carolina Posts: 866 Thanks: 0  Re: Find a set of parametric equations for the rectangular e
how do I let x = t ?

August 5th, 2012, 09:09 PM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 522 Math Focus: Calculus/ODEs  Re: Find a set of parametric equations for the rectangular e
You just tell x to relax...this is going to happen...and it will submit. Seriously, you want to define x to be a function of t, and this is the simplest I can think of that will work for our purpose here. There are infinitely many ways we could define a set of parametric equations though. For example, for the first problem, we could let: then You see, if we write: then let =t1" /> and substituting for into the rectangular equation, we then have: 
August 5th, 2012, 09:48 PM  #5 
Senior Member Joined: Aug 2012 From: South Carolina Posts: 866 Thanks: 0  Re: Find a set of parametric equations for the rectangular e
Mark so can I let x = t1 and y then = 3t is this just an example of how you could do this or is this one sufficient answer? thanks 
August 5th, 2012, 10:00 PM  #6 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 522 Math Focus: Calculus/ODEs  Re: Find a set of parametric equations for the rectangular e
It's just one way...another would be as I suggest first: 

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