Consider the parametric equations below. (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. 2000 1000 -1000 -2000 2 6 8 10 x -10-8 -6 2000 (b) Eliminate the parameter to find a Cartesian equation of the curve. 1000 4-2 -1000) -2000 2000 1000 -1000 -2000 6 8 10 X 2000 1000 -10-8-6-2 -1000 -2000

Q: - = + t, y = t? + 5, -2 sts 2 y y 10 -10 -5 -5 5 10

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