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 August 5th, 2012, 03:03 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, 03:16 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: Find a set of parametric equations for the rectangular e For both problems try letting $x=t$.
 August 5th, 2012, 08:02 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, 08:09 PM #4 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 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: $x=t-1$ then $y=3t$ You see, if we write: $y=3(x+1)$ then let $t=x+1\:\therefore\=t-1" /> and substituting for $x+1$ into the rectangular equation, we then have: $y=3t$
 August 5th, 2012, 08:48 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 = t-1 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, 09:00 PM #6 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 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: $x=t,\,y=3t+3$

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