Question

Consider the following for the parametric equations below. a. Eliminate the parameter to find a Cartesian equation of the curve. b. Sketch the curve using a table, and indicate with

an arrow the direction in which thecurve is traced as the parameter increases. \text { c. Find } \frac{d y}{d x} \text { and } \frac{d^{2} y}{d x^{2}} \text {. } x=1+e^{2 t}, y=e^{t}

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