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# (a) Eliminate the parameter to find a Cartesian equation of the curve.(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as parameter increases.$x = e^t$, $\quad y = e^{-2t}$

## (a) $y=\frac{1}{x^{2}}$(b) See Graph

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##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

the problem is part, eh? Eliminates the perimeter to find a Kardashian equation of the curve at a half. Why is he called you too? You It is a powerful negative too, which is equal to ax to the power ofthe native to this is equal to one over x squared. This is a cottage in question. Off the roof had be scarce, the kerf and indicated with an arrow the direction in which the kerf is trist as having two increases. The first notice that axe is greatest and zero so we can schedule the curve as follows. We can see what he is equal to. Zero actually Goto one. Why is he going to one? And when he is, he called to one slacks. You see what he why is he going to be connected to half this direction Is the direction invention the crew for the trist as permitted increases

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#### Topics

Parametric Equations

Polar Coordinates

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