Let r(t) (e-, -e). (a) Sketch x(t) and y(t) for t 0. You should be able to do this without technology. (b) Eliminate the parameter to express r as a function of y. (No t's.) (c) Use the information obtained in part (a) and part (b) to carefully sketch the curve traced by r(t) for t0. Do this by hand and without computing a table of values. Include arrows to indicate the direction in which the curve is traced as t increases, and briefly explain how you decided the direction.