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If I were given these equations:

x = e^t

y = e^-t

Then I have to find the cartesian product for this parametric curve and then I have to sketch the graph of the curve. So here's the cartesian product I came up with:

Solve for t in y, so:

y = e^-t

ln y = ln e^-t

ln y = -t

t = - ln y

Then plug in to the x part:

x = e^-ln y

Is that part correct?

I have no idea how to graph this...

Help appreciated.

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# Parametric Curve

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