Thread: Converting from Parametric to Implicit

Hi!

I was hoping that someone could give me a few guidelines as to how to find the Implicit representation of parametric equations, an example i need to solve has parametric equations,

x=t^2-t+t and y=t^2+t+1

I think i should have learnt this last year in my Vector Calculus module but we had problems with a very bad lecturer!

Thankyou for any replies!

Originally Posted by butterfly

Hi!

I was hoping that someone could give me a few guidelines as to how to find the Implicit representation of parametric equations, an example i need to solve has parametric equations,

x=t^2-t+t and y=t^2+t+1

I think i should have learnt this last year in my Vector Calculus module but we had problems with a very bad lecturer!

Thankyou for any replies!

1. Calculate t wrt x and y:

Subtract the second equation columnwise from the first on:



2. Plug in this term for t either into the first or the second equation and you'll get:

any chance butterfly is from loughborough? lol