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  3. r(t)=sinti+costj. - sketch the plane curve represe

r(t)=sinti+costj. - Sketch the plane curve represented by r and include arrows indicating its orientation. - Sketch the...

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Advance Math

r(t)=sinti+costj.

- Sketch the plane curve represented by r and include arrowsindicating its orientation.

- Sketch the position vector r(t), the velocity vector r?(t),and the acceleration vector r??(t) for the two times t = ?/2, 5?/4, putting the initial points of the velocity and accelerationvectors at the terminal points of the position vectors.

- Prove that the vectors r(t) and r?(t) are orthogonal for everyt.

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