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  3. a particle moves from point a = (0, 0, 0) to point

A particle moves from point A = (0, 0, 0) to point B = (2Ï€,...

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Basic Math

A particle moves from point A = (0, 0, 0) to point B = (2π, 0,2π), under the action of the force F = xi +yj − zk .

a. Calculate the work done by the force F onthe particle if it moves along the conic-helical curve

r(t) = (t cost )i +(t sint )j +tk with 0 ≤ t ≤ 2π.

b. Find a parametric vector equation for the straight lineconnecting A to B, and calculate the work done by the forceF on the particle as it moves along this straightline.

c. Is the force F conservative or not?

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