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The position of a particle in the xy-plane at time t is r(t)= (e^t)i + (2/27e^3t)j. Find an equation in x and y whose graph

The position of a particle in the xy-plane at time t is r(t)= (e^t)i + (2/27e^3t)j. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and acceleration vectors at t=ln3

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