SOLUTION: Find an equation in x and y for the curve given by the parametric equation x=e^-t, y=-2t, t in R. I came up with y=x^2, but don't feel it's right. Please help. Thanks

Algebra ->  Trigonometry-basics -> SOLUTION: Find an equation in x and y for the curve given by the parametric equation x=e^-t, y=-2t, t in R. I came up with y=x^2, but don't feel it's right. Please help. Thanks      Log On


   

Question 75358This question is from textbook
: Find an equation in x and y for the curve given by the parametric equation x=e^-t, y=-2t, t in R.
I came up with y=x^2, but don't feel it's right. Please help. Thanks This question is from textbook

Answer by nilan(17) About Me  (Show Source):
You can put this solution on YOUR website!
x=e^-t
y=-2t
then
t=-y%2F2
x=e%5E%28y%2F2%29
taking ln in both side
ln+x+=+ln+e%5E%28y%2F2%29
ln+x+=+y%2F2%2Aln+e
ln+x+=+y%2F2 (since ln e = 1)
y=2%2Aln+x