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

r(t)=sinti+costj.

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

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

- Prove that the vectors r(t) and r′(t) are orthogonal for every t.

Expert Solution

Colby Messinger answered 1 year ago

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