- #1
Jbreezy
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Homework Statement
Compare the curves represented by the the parametric equations. How do they differ?
a.) x =t , y = t^-2
b.) x = cost , y = (sect)^2
c.) x = e^t , y = e^(-2t)
Homework Equations
So I drew them on the calculator they all look like umm... how do I describe this picture the x and y-axis ...now picture ...well just picture 1/x^2 that is what they kind look like.
The Attempt at a Solution
I'm just having issue coming up with a reasonable explanation. I'm not sure they all pretty much look the same. . Maybe I can say that the rate at which T changes ? So for equation a.) with one change in t you get one change in x and in y you get smaller and smaller changes in it as t increases. Which is slower then say equation b? I don't know