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In Matlab: Sketch the path traced by the tip of the given position vector r(t). Provide matlab calculations to determine the velocity and acceleration vectors.

In Matlab: Sketch the path traced by the tip of the given position vector r(t).

Provide matlab calculations to determine the velocity and acceleration vectors.

Plot velocity vectors at several positions along the path.

Plot acceleration vectors at the same positions used in plotting velocity vectors along the path.

r(t)=e^-t*cos(t),e^-t*sin(t) in the plane over the time interval 0 t 2

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