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In: Physics

The force acts on a particle F = 2xy ^ 2i + 2x ^ 2yj N...

The force acts on a particle
F = 2xy ^ 2i + 2x ^ 2yj N
Find the work done by force by moving the body from the point (0,0) to the point (2,4) following the following paths

1) (0,0) -----> (2,0) -----> (2,4)

2) (0,0) ----> (0,4) ----> (2,4)

3) Along the line that joins both points

4) Along the parabola y = x ^ 2

5) Is a conservative force?

Please make the graphs and justify all your answers please like why the force is o nor conservative

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