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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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Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

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