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Let(t)=(x(t),y(t))=(3cos2t1,3sin2t+2),tR be a curve. (a) Write down an equation of the curve in terms of x and y without t. (b) Sketch the curve in

Let(t)=(x(t),y(t))=(3cos2t1,3sin2t+2),tR be a curve. (a) Write down an equation of the curve in terms of x and y without t. (b) Sketch the curve in xy-plane, and indicate the direction for t increasing with an arrow

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