Question

Give an equation relating x and y for the curve given parametrically by

Answer 1

x(t)=\[2e^{t}\] y(t)= \[1-3e^{-2t}\]

Answer 2

rearrange things until you have \[e^t\] written as a function (for example of x). Then you can use building blocks like \[e^{-t}=\frac{1}{e^t}\] and \[3e^{-2t}=\frac{3}{(e^t)^2}\]