# How does one find a parameter representation for bounded region?

I need help with this question. I have been stuck at it for a few days. My main problem is how I use the curve $$K_r$$ to find the parametric representation.

I have a curve $$K_r$$ in the $$(x,y)$$-plane given by:

$$r(u)= (sinh(u),cosh(u))$$, u ∈ [0,2]

I have to find the parametric representation for the bounded region A that is bounded by $$K_r$$ and the line segments from (2,0) to r(0) and (2,0) to r(2).

This is the plot I have made if it is of any help.

• $cosh^2(t) - sinh^2(t)=1$ and $x=sinh(u)$, $y=cosh(u)$ – keoxkeox Mar 24 at 19:54
• Thanks for the info. I still have problems stating the parameter representation. – Atli Olsen Mar 24 at 20:35