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A particle moves along line segments from the origin to the points
Find the work done.
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Calculus (MindTap Course List)
- Find the work done by the force field F(x,y,z) = (x-y^2, y-z^2, z-x^2) on a particle that moves along the line segment from (0,0,1) to (2,1,0) .arrow_forwardA particle starts at the point (-1, 0), moves along the x-axis to (1, 0), and then along the semicircle y = √(1 - x2 )to the starting point. Use Green's Theorem to find the work done on this particle by the force field F(x, y) = ‹3x, x3 + 3xy2›.arrow_forwardA particle moves along line segments from the origin to the points (1, 0, 0), (1, 4, 1), (0, 4, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i + 4xyj + 2y2k.arrow_forward
- A particle moves along line segments from the origin to the points (2, 0, 0), (2, 4, 1), (0, 4, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i + 3xyj + 4y2k. Use Stokes' Theorem to find the work done. C F · dr =arrow_forwardA particle starts at the origin, moves along the x-axis to (4, 0), then along the quarter-circle x2 + y2 = 16, x ≥ 0, y ≥ 0 to the point (0, 4), and then down the y-axis back to the origin. Use Green's theorem to find the work done on this particle by the following force field. F(x, y) = sin(x), sin(y) + xy2 + 1 3 x3arrow_forwardA particle starts at the point (-2,0), moves along the x-axis to (2,0) and then along the semicircle y=radical(4-x^2) to the starting point. Use Green’s Theorem to find the work done on this particle by the force field F(x,y) =(2x,x^3+3xy^2).arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage